| 9 | is divisible by: | 1, 3, 9 |
|---|---|---|
| 99 | is divisible by: | 1, 3, 9, 11, 33, 99 |
| 999 | is divisible by: | 1, 3, 9, 27, 37, 111, 333, 999 |
| 9999 | is divisible by: | 1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, 9999 |
| 99999 | is divisible by: | 1, 3, 9, 41, 123, 271, 369, 813, 2439, 11111, 33333, 99999 |
| 999999 | is divisible by: | 1, 3, 7, 9, 11, 13, 21, 27, 33, 37, 39, 63, 77, 91, 99, 111, 117, 143, 189, 231, 259, 273, 297, 333, 351, 407, 429, 481, 693, 777, 819, 999, 1001, 1221, 1287, 1443, 2079, 2331, 2457, 2849, 3003, 3367, 3663, 3861, 4329, 5291, 6993, 8547, 9009, 10101, 10989, 12987, 15873, 25641, 27027, 30303, 37037, 47619, 76923, 90909, 111111, 142857, 333333, 999999 |
| 9999999 | is divisible by: | 1, 3, 9, 239, 717, 2151, 4649, 13947, 41841, 1111111, 3333333, 9999999 |
| 99999999 | is divisible by: | 1, 3, 9, 11, 33, 73, 99, 101, 137, 219, 303, 411, 657, 803, 909, 1111, 1233, 1507, 2409, 3333, 4521, 7227, 7373, 9999, 10001, 13563, 13837, 22119, 30003, 41511, 66357, 81103, 90009, 110011, 124533, 152207, 243309, 330033, 456621, 729927, 990099, 1010101, 1369863, 3030303, 9090909, 11111111, 33333333, 99999999 |
| 999999999 | is divisible by: | 1, 3, 9, 27, 37, 81, 111, 333, 999, 2997, 333667, 1001001, 3003003, 9009009, 12345679, 27027027, 37037037, 111111111, 333333333, 999999999 |
| 9999999999 | is divisible by: | 1, 3, 9, 11, 33, 41, 99, 123, 271, 369, 451, 813, 1353, 2439, 2981, 4059, 8943, 9091, 11111, 26829, 27273, 33333, 81819, 99999, 100001, 122221, 300003, 366663, 372731, 900009, 1099989, 1118193, 2463661, 3354579, 4100041, 7390983, 12300123, 22172949, 27100271, 36900369, 81300813, 101010101, 243902439, 303030303, 909090909, 1111111111, 3333333333, 9999999999 |
| 99999999999 | is divisible by: | 1, 3, 9, 21649, 64947, 194841, 513239, 1539717, 4619151, 11111111111, 33333333333, 99999999999 |
| 999999999999 | is divisible by: | 1, 3, 7, 9, 11, 13, 21, 27, 33, 37, 39, 63, 77, 91, 99, 101, 111, 117, 143, 189, 231, 259, 273, 297, 303, 333, 351, 407, 429, 481, 693, 707, 777, 819, 909, 999, 1001, 1111, 1221, 1287, 1313, 1443, 2079, 2121, 2331, 2457, 2727, 2849, 3003, 3333, 3367, 3663, 3737, 3861, 3939, 4329, 5291, 6363, 6993, 7777, 8547, 9009, 9191, 9901, 9999, 10101, 10989, 11211, 11817, 12987, 14443, 15873, 19089, 23331, 25641, 26159, 27027, 27573, 29703, 29997, 30303, 33633, 35451, 37037, 41107, 43329, 47619, 48581, 69307, 69993, 76923, 78477, 82719, 89109, 90909, 100899, 101101, 108911, 111111, 123321, 128713, 129987, 142857, 145743, 207921, 209979, 235431, 248157, 267327, 287749, 303303, 326733, 333333, 340067, 366337, 369963, 386139, 389961, 437229, 534391, 623763, 706293, 762377, 863247, 900991, 909909, 980199, 999999, 1000001, 1020201, 1099011, 1109889, 1158417, 1311687, 1415843, 1603173, 1871289, 2287131, 2564359, 2589741, 2702973, 2729727, 2940597, 3000003, 3060603, 3297033, 3475251, 3740737, 4029707, 4247529, 4762381, 4809519, 6861393, 7000007, 7693077, 7769223, 8108919, 9000009, 9181809, 9891099, 9910901, 11000011, 11222211, 12089121, 12742587, 13000013, 14287143, 14428557, 20584179, 21000021, 23079231, 24326757, 27000027, 28207949, 29732703, 33000033, 33336667, 33666633, 36267363, 37000037, 38227761, 39000039, 42861429, 52386191, 63000063, 69237693, 77000077, 84623847, 89198109, 91000091, 99000099, 100010001, 100999899, 108802089, 111000111, 117000117, 128584287, 143000143, 157158573, 189000189, 231000231, 253871541, 259000259, 267594327, 273000273, 297000297, 300030003, 333000333, 351000351, 366703337, 407000407, 429000429, 471475719, 481000481, 693000693, 761614623, 777000777, 819000819, 900090009, 999000999, 1001001001, 1100110011, 1221001221, 1287001287, 1414427157, 1443001443, 2079002079, 2331002331, 2457002457, 2849002849, 3003003003, 3300330033, 3367003367, 3663003663, 3861003861, 4329004329, 5291005291, 6993006993, 8547008547, 9009009009, 9900990099, 10101010101, 10989010989, 12987012987, 15873015873, 25641025641, 27027027027, 30303030303, 37037037037, 47619047619, 76923076923, 90909090909, 111111111111, 142857142857, 333333333333, 999999999999 |
| 9999999999999 | is divisible by: | 1, 3, 9, 53, 79, 159, 237, 477, 711, 4187, 12561, 37683, 265371653, 796114959, 2388344877, 14064697609, 20964360587, 42194092827, 62893081761, 126582278481, 188679245283, 1111111111111, 3333333333333, 9999999999999 |
| 99999999999999 | is divisible by: | 1, 3, 9, 11, 33, 99, 239, 717, 2151, 2629, 4649, 7887, 13947, 23661, 41841, 51139, 153417, 460251, 909091, 1111111, 2727273, 3333333, 8181819, 9999999, 10000001, 12222221, 30000003, 36666663, 90000009, 109999989, 217272749, 651818247, 1955454741, 2390000239, 4226364059, 7170000717, 12679092177, 21510002151, 38037276531, 46490004649, 139470013947, 418410041841, 1010101010101, 3030303030303, 9090909090909, 11111111111111, 33333333333333, 99999999999999 |
| 999999999999999 | is divisible by: | 1, 3, 9, 27, 31, 37, 41, 93, 111, 123, 271, 279, 333, 369, 813, 837, 999, 1107, 1147, 1271, 1517, 2439, 3441, 3813, 4551, 7317, 8401, 10027, 10323, 11111, 11439, 13653, 25203, 30081, 30969, 33333, 34317, 40959, 47027, 75609, 90243, 99999, 141081, 226827, 270729, 299997, 310837, 344441, 411107, 423243, 932511, 1033323, 1233321, 1269729, 2797533, 2906161, 3099969, 3699963, 8392599, 8718483, 9299907, 11099889, 12744317, 26155449, 38232951, 78466347, 90090991, 107527957, 114698853, 119152601, 270272973, 322583871, 344096559, 357457803, 787569631, 810818919, 967751613, 1072373409, 2362708893, 2432456757, 2903254839, 3217120227, 3333366667, 3693730631, 4408646237, 7088126679, 10000100001, 11081191893, 13225938711, 21264380037, 24414658561, 29140076347, 30000300003, 32290354871, 33243575679, 39677816133, 73243975683, 87420229041, 90000900009, 96871064613, 99730727037, 119033448399, 136668033347, 219731927049, 262260687123, 290613193839, 410004100041, 659195781147, 786782061369, 871839581517, 903342366757, 1001001001001, 1194743130227, 1230012300123, 2710027100271, 3003003003003, 3584229390681, 3690036900369, 8130081300813, 9009009009009, 10752688172043, 24390243902439, 27027027027027, 32258064516129, 37037037037037, 111111111111111, 333333333333333, 999999999999999 |
| 9999999999999999 | is divisible by: | 1, 3, 9, 11, 17, 33, 51, 73, 99, 101, 137, 153, 187, 219, 303, 411, 561, 657, 803, 909, 1111, 1233, 1241, 1507, 1683, 1717, 2329, 2409, 3333, 3723, 4521, 5151, 6987, 7227, 7373, 9999, 10001, 11169, 13563, 13651, 13837, 15453, 18887, 20961, 22119, 25619, 30003, 40953, 41511, 56661, 66357, 76857, 81103, 90009, 110011, 122859, 124533, 125341, 152207, 169983, 170017, 230571, 235229, 243309, 330033, 376023, 456621, 510051, 705687, 729927, 990099, 1010101, 1128069, 1369863, 1378751, 1530153, 1870187, 2117061, 2587519, 3030303, 4136253, 5610561, 5882353, 7762557, 9090909, 11111111, 12408759, 16831683, 17171717, 17647059, 23287671, 33333333, 51515151, 52941177, 64705883, 99999999, 100000001, 154545453, 188888887, 194117649, 300000003, 429411769, 566666661, 582352947, 594117653, 805882361, 900000009, 1100000011, 1288235307, 1699999983, 1782352959, 2417647083, 3300000033, 3864705921, 4723529459, 5347058877, 6535294183, 7252941249, 7300000073, 8864705971, 9900000099, 10100000101, 13700000137, 14170588377, 19605882549, 21900000219, 26594117913, 30300000303, 41100000411, 42511765131, 43370588669, 58817647647, 58829412353, 65700000657, 79782353739, 80300000803, 81394118461, 90900000909, 111100001111, 123300001233, 130111766007, 150700001507, 176488237059, 240900002409, 244182355383, 333300003333, 390335298021, 452100004521, 477076475359, 529464711177, 647123535883, 722700007227, 732547066149, 737300007373, 895335303071, 999900009999, 1000100010001, 1356300013563, 1383700013837, 1431229426077, 1941370607649, 2211900022119, 2686005909213, 3000300030003, 4151100041511, 4293688278231, 5824111822947, 5941770647653, 6635700066357, 8058017727639, 8110300081103, 9000900090009, 11001100110011, 12453300124533, 15220700152207, 17825311942959, 24330900243309, 33003300330033, 45662100456621, 53475935828877, 65359477124183, 72992700729927, 99009900990099, 101010101010101, 136986301369863, 196078431372549, 303030303030303, 588235294117647, 909090909090909, 1111111111111111, 3333333333333333, 9999999999999999 |
| 99999999999999999 | is divisible by: | 1, 3, 9, 2071723, 6215169, 18645507, 5363222357, 16089667071, 48269001213, 11111111111111111, 33333333333333333, 99999999999999999 |
| 999999999999999999 | is divisible by: | 1, 3, 7, 9, 11, 13, 19, 21, 27, 33, 37, 39, 57, 63, 77, 81, 91, 99, 111, 117, 133, 143, 171, 189, 209, 231, 247, 259, 273, 297, 333, 351, 399, 407, 429, 481, 513, 567, 627, 693, 703, 741, 777, 819, 891, 999, 1001, 1053, 1197, 1221, 1287, 1443, 1463, 1539, 1729, 1881, 2079, 2109, 2223, 2331, 2457, 2717, 2849, 2997, 3003, 3367, 3591, 3663, 3861, 4329, 4389, 4921, 5187, 5291, 5643, 6237, 6327, 6669, 6993, 7371, 7733, 8151, 8547, 9009, 9139, 10101, 10773, 10989, 11583, 12987, 13167, 14763, 15561, 15873, 16929, 18981, 19019, 20007, 20979, 23199, 24453, 25641, 27027, 27417, 30303, 32967, 37037, 38961, 39501, 44289, 46683, 47619, 52579, 54131, 56943, 57057, 63973, 69597, 73359, 76923, 81081, 82251, 90909, 100529, 111111, 118503, 132867, 140049, 142857, 157737, 162393, 171171, 191919, 208791, 220077, 230769, 246753, 272727, 301587, 333333, 333667, 368053, 398601, 428571, 473211, 487179, 513513, 575757, 578369, 626373, 683527, 703703, 740259, 904761, 999001, 999999, 1001001, 1104159, 1419633, 1461537, 1540539, 1727271, 1735107, 1945423, 2050581, 2111109, 2335669, 2714283, 2997003, 2999997, 3003003, 3312477, 3670337, 4048583, 4258899, 4337671, 4384611, 4784689, 5181813, 5205321, 5836269, 6151743, 6333327, 6339673, 6993007, 7007007, 7518797, 8142849, 8991009, 9009009, 9937431, 10989011, 11011011, 12145749, 12345679, 12987013, 13013013, 13617961, 14354067, 15615963, 17508807, 18455229, 18999981, 19019019, 20979021, 21021021, 21399653, 22556391, 25290499, 25692359, 26973027, 27027027, 29812293, 30363697, 32967033, 33033033, 36437247, 36963037, 37037037, 38961039, 39039039, 40853883, 43062201, 44377711, 46847889, 47714381, 52526421, 52631579, 55365687, 56999943, 57057057, 62937063, 63063063, 64198959, 67669173, 69736403, 75871497, 76923077, 77077077, 80919081, 82415749, 86419753, 90909091, 91091091, 98901099, 99099099, 109311741, 110889111, 111111111, 116883117, 117117117, 122561649, 129186603, 133133133, 135802469, 142857143, 143143143, 149797571, 157579263, 157894737, 160493827, 171171171, 177033493, 188811189, 189189189, 192596877, 203007519, 209209209, 227614491, 230769231, 231231231, 234567901, 247247247, 258741259, 259259259, 272727273, 273273273, 278195489, 296703297, 297297297, 327935223, 332667333, 333333333, 334000667, 350649351, 351351351, 367684947, 387559809, 399399399, 406593407, 407407407, 428571429, 429429429, 449392713, 473684211, 480519481, 481481481, 488154821, 513513513, 531100479, 566433567, 576910243, 577790631, 609022557, 627627627, 682843473, 692307693, 693693693, 703703703, 741741741, 776223777, 777777777, 818181819, 819819819, 834586467, 890109891, 906573239, 950617283, 998001999, 999999999, 1000000001, 1002002001, 1051948053, 1103054841, 1123456789, 1198198197, 1219780221, 1222222221, 1285714287, 1288288287, 1348178139, 1421052633, 1441558443, 1444444443, 1464464463, 1593301437, 1641975307, 1730730729, 1733371893, 1765432097, 1882882881, 1947368423, 2048530419, 2076923079, 2081081079, 2111111109, 2225225223, 2328671331, 2333333331, 2454545457, 2459459457, 2503759401, 2580246911, 2719719717, 2846153849, 2851851849, 2994005997, 3000000003, 3006006003, 3049382713, 3363636367, 3370370367, 3594594591, 3659340663, 3666666663, 3857142861, 3864864861, 4044534417, 4263157899, 4324675329, 4333333329, 4393393389, 4779904311, 4925925921, 5192192187, 5285714291, 5296296291, 5648648643, 5842105269, 6230769237, 6333333327, 6346012673, 6675675669, 6986013993, 6999999993, 7363636371, 7511278203, 7740740733, 8159159151, 8538461547, 8555555547, 9000000009, 9018018009, 9148148139, 10090909101, 10111111101, 10978021989, 10999999989, 11571428583, 12133603251, 12358024679, 12974025987, 12999999987, 13180180167, 14339712933, 14777777763, 15576576561, 15857142873, 15888888873, 17526315807, 17543877193, 18061728377, 18999999981, 19038038019, 20958041979, 21345678991, 22533834609, 23222222199, 24477477453, 25615384641, 25666666641, 27000000027, 27054054027, 27444444417, 30272727303, 30333333303, 32934065967, 33543209843, 37000000037, 37074074037, 38922077961, 39540540501, 44333333289, 46729729683, 47571428619, 47666666619, 52578947421, 52631631579, 54185185131, 57114114057, 64037036973, 69666666597, 73432432359, 76846153923, 76999999923, 81000000081, 82333333251, 90818181909, 90999999909, 100629629529, 111000000111, 111222222111, 122807140351, 132999999867, 142714285857, 142999999857, 157736842263, 157894894737, 162555555393, 171342342171, 192111110919, 192982649123, 208999999791, 228070403509, 230538461769, 234802468901, 246999999753, 272454545727, 301888888587, 333000000333, 333333666667, 333666666333, 368421421053, 428142857571, 473684684211, 487666666179, 514027026513, 576333332757, 578947947369, 649123456141, 684211210527, 704407406703, 905666665761, 999000000999, 1000001000001, 1000999998999, 1105264263159, 1350878543861, 1421054052633, 1462999998537, 1596492824563, 1728999998271, 1736843842107, 1947370368423, 2052633631581, 2113222220109, 2333335666669, 2508774438599, 2716999997283, 2997000002997, 3000003000003, 3315792789477, 3666670333337, 4052635631583, 4333337666671, 4543864192987, 4789478473689, 5210531526321, 5842111105269, 6157900894743, 6339666660327, 7000007000007, 7140358017551, 7526323315797, 8438604929833, 9000009000009, 9947378368431, 11000011000011, 12157906894749, 12333345666679, 13000013000013, 13631592578961, 14368435421067, 15631594578963, 17526333315807, 17561421070193, 18473702684229, 19018999980981, 21000021000021, 21421074052653, 22578969947391, 25315814789499, 25666692333359, 27000027000027, 30333363666697, 33000033000033, 36473720684247, 37000037000037, 39000039000039, 40894777736883, 43105306263201, 47666714333381, 49982506122857, 52578999947421, 52684263210579, 59070234508831, 63000063000063, 64263222157959, 67736909842173, 75947444368497, 77000077000077, 86333419666753, 91000091000091, 92824654228163, 99000099000099, 109421162052741, 111000111000111, 117000117000117, 122684333210649, 129315918789603, 135666802333469, 143000143000143, 149947518368571, 158052789631737, 160333493666827, 177210703526493, 189000189000189, 192789666473877, 203210729526519, 227842333105491, 231000231000231, 259000259000259, 273000273000273, 278473962684489, 297000297000297, 333000333000333, 333667000333667, 351000351000351, 368052999631947, 407000407000407, 429000429000429, 449842555105713, 474158368895211, 481000481000481, 531632110579479, 578368999421631, 649772579597141, 683526999316473, 693000693000693, 777000777000777, 819000819000819, 835421888053467, 949667616334283, 999000999000999, 1001001001001001, 1122334455667789, 1221001221001221, 1287001287001287, 1349527665317139, 1422475106685633, 1443001443001443, 1594896331738437, 1763668430335097, 1949317738791423, 2079002079002079, 2331002331002331, 2457002457002457, 2506265664160401, 2849002849002849, 3003003003003003, 3367003367003367, 3663003663003663, 3861003861003861, 4048582995951417, 4329004329004329, 4784688995215311, 5291005291005291, 5847953216374269, 6993006993006993, 7518796992481203, 8547008547008547, 9009009009009009, 10101010101010101, 10989010989010989, 12345679012345679, 12987012987012987, 15873015873015873, 17543859649122807, 25641025641025641, 27027027027027027, 30303030303030303, 37037037037037037, 47619047619047619, 52631578947368421, 76923076923076923, 90909090909090909, 111111111111111111, 142857142857142857, 333333333333333333, 999999999999999999 |
| 9999999999999999999 | is divisible by: | 1, 3, 9, 1111111111111111111, 3333333333333333333, 9999999999999999999 |
| 99999999999999999999 | is divisible by: | 1, 3, 9, 11, 33, 41, 99, 101, 123, 271, 303, 369, 451, 813, 909, 1111, 1353, 2439, 2981, 3333, 3541, 4059, 4141, 8943, 9091, 9999, 10623, 11111, 12423, 26829, 27273, 27371, 27961, 31869, 33333, 37269, 38951, 45551, 81819, 82113, 83883, 99999, 100001, 116853, 122221, 136653, 145181, 246339, 251649, 300003, 301081, 307571, 350559, 357641, 366663, 372731, 409959, 435543, 900009, 903243, 918191, 922713, 959611, 1072923, 1099989, 1118193, 1122211, 1146401, 1306629, 1596991, 2463661, 2709729, 2754573, 2768139, 2824061, 2878833, 3218769, 3354579, 3366633, 3439203, 3934051, 4100041, 4790973, 7390983, 7577431, 8263719, 8472183, 8636499, 10099899, 10100101, 10317609, 10555721, 11802153, 12300123, 12344321, 12610411, 14372919, 14663281, 22172949, 22732293, 25416549, 27100271, 30300303, 31064671, 31667163, 32191231, 35406459, 36900369, 37032963, 37645831, 37831233, 39344051, 43989843, 68196879, 81300813, 83351741, 90900909, 93194013, 95001489, 96573693, 96920711, 99009901, 101010101, 111098889, 112937493, 113493699, 115786501, 118032153, 131969529, 161296091, 243902439, 248829761, 250055223, 254193451, 279582039, 289721079, 290762133, 297029703, 303030303, 310674671, 338812479, 347359503, 354096459, 354103541, 414104141, 432784561, 483888273, 746489283, 750165669, 762580353, 765320531, 872286399, 891089109, 909090909, 932024013, 1042078509, 1062310623, 1066127821, 1089108911, 1111111111, 1242312423, 1273651511, 1298353683, 1319840471, 1451664819, 2239467849, 2287741059, 2295961593, 2737127371, 2796072039, 2796127961, 3186931869, 3198383463, 3251314331, 3267326733, 3333333333, 3417421381, 3726937269, 3820954533, 3895061049, 3959521413, 3973749151, 4059405941, 6887884779, 8211382113, 8388383883, 8418525841, 8723823601, 9595150389, 9753942993, 9801980199, 9999999999, 10000000001, 10202020201, 10252264143, 10421931491, 11462863599, 11878564239, 11921247453, 12178217823, 14518245181, 24634146339, 25165151649, 25255577523, 25673538551, 26171470803, 26831683171, 29261828979, 30000000003, 30606060603, 30756792429, 31265794473, 31378141771, 35763742359, 35764457641, 36534653469, 43554735543, 43711240661, 44653465351, 68886425221, 75766732569, 77020615653, 78514412409, 80495049513, 90000000009, 91818181809, 93797383419, 94134425313, 95962059611, 107293372923, 110000000011, 112222222211, 114641246401, 130664206629, 131133721983, 133303887571, 133960396053, 206659275663, 231061846959, 241485148539, 282403275939, 282408924061, 287886178833, 295148514881, 321880118769, 330000000033, 336666666633, 343923739203, 345159559481, 357676767641, 393401165949, 399911662713, 401881188159, 410000000041, 619977826989, 757750677431, 847226772183, 863658536499, 881106183701, 885445544643, 900099009991, 990000000099, 1009999999899, 1031771217609, 1035478678443, 1052615080591, 1073030302923, 1100099010011, 1199734988139, 1230000000123, 1466342763281, 2273252032293, 2541680316549, 2643318551103, 2656336633929, 2700297029973, 2710000000271, 2824343434061, 3106436035329, 3157845241773, 3219090908769, 3300297030033, 3690000000369, 3934444444051, 4399028289843, 4510000000451, 6819756096879, 6957528947321, 7929955653309, 8100891089919, 8130000000813, 8473030302183, 9473535725319, 9692168020711, 9900891090099, 9901089109901, 11578765886501, 11803333332153, 12101089110121, 13197084869529, 13530000001353, 20872586841963, 24390000002439, 25419090906549, 29076504062133, 29703267329703, 29810000002981, 31067777774671, 34736297659503, 35409999996459, 36125353531741, 36303267330363, 36904059409631, 40590000004059, 62617760525889, 76532818420531, 87229512186399, 89109801989109, 89430000008943, 90910000009091, 93203333324013, 104208892978509, 108376060595223, 108909801991089, 110712178228893, 111110000011111, 229598455261593, 243926831707561, 268290000026829, 272730000027273, 279609999972039, 285258686840161, 325128181785669, 332136534686679, 333330000033333, 397378888849151, 405944653505941, 688795365784779, 731780495122683, 818190000081819, 855776060520483, 999990000099999, 1000010000100001, 1192136666547453, 1217833960517823, 1222210000122221, 2195341485368049, 2567328181561449, 2683195148783171, 3000030000300003, 3137845555241771, 3576409999642359, 3653501881553469, 3666630000366663, 3727310000372731, 8049585446349513, 9000090000900009, 9413536665725313, 10001000100010001, 10999890001099989, 11181930001118193, 24148756339048539, 24636610002463661, 28240609997175939, 30003000300030003, 33545790003354579, 41000410004100041, 73909830007390983, 90009000900090009, 110011001100110011, 123001230012300123, 221729490022172949, 271002710027100271, 330033003300330033, 369003690036900369, 813008130081300813, 990099009900990099, 1010101010101010101, 2439024390243902439, 3030303030303030303, 9090909090909090909, 11111111111111111111, 33333333333333333333, 99999999999999999999 |
| 999999999999999999999 | is divisible by: | 1, 3, 9, 27, 37, 43, 111, 129, 239, 333, 387, 717, 999, 1161, 1591, 1933, 2151, 4649, 4773, 5799, 6453, 8843, 10277, 13947, 14319, 17397, 26529, 30831, 41841, 42957, 52191, 71521, 79587, 83119, 92493, 125523, 172013, 199907, 214563, 238761, 249357, 277479, 380249, 461987, 516039, 599721, 643689, 748071, 1111111, 1140747, 1385961, 1548117, 1799163, 1931067, 2244213, 3075403, 3333333, 3422241, 4157883, 4644351, 5397489, 7396559, 8986517, 9226209, 9999999, 10266723, 10838689, 12473649, 17093519, 19865441, 22189677, 26959551, 27678627, 29999997, 32516067, 41111107, 47777773, 51280557, 59596323, 66569031, 80878653, 83035881, 97548201, 123333321, 143333319, 153841671, 178788969, 199707093, 242635959, 292644603, 332501129, 369999963, 386420231, 401031493, 429999957, 461525013, 466063627, 536366907, 735021317, 997503387, 1109999889, 1159260693, 1203094479, 1289999871, 1398190881, 1767777601, 2147777563, 2205063951, 2590446671, 2992510161, 3477782079, 3609283437, 4194572643, 5303332803, 6443332689, 6615191853, 7771340013, 8977530483, 10433346237, 10827850311, 12583717929, 14297548547, 15909998409, 17244354199, 19329998067, 19845575559, 20951185837, 23314020039, 42892645641, 47729995227, 50389065161, 51733062597, 57989994201, 62853557511, 69942060117, 79467769831, 92354435209, 95846526827, 111389206853, 128677936923, 151167195483, 155199187791, 188560672533, 238403309493, 277063305627, 287539580481, 334167620559, 386033810769, 453501586449, 465597563373, 565682017599, 715209928479, 775193875969, 831189916881, 862618741443, 900900990991, 1002502861677, 1360504759347, 1864395410957, 2145629785437, 2166729801923, 2325581627907, 2493569750643, 2587856224329, 2702702972973, 3007508585031, 3417114102733, 4121400653561, 5007333415043, 5593186232871, 6500189405769, 6976744883721, 8108108918919, 10251342308199, 12042986573479, 12364201960683, 15022000245129, 16779558698613, 19500568217307, 20930234651163, 24324326756757, 30754026924597, 33333336666667, 36128959720437, 37092605882049, 45066000735387, 50338676095839, 58501704651921, 80169002671151, 92262080773791, 97402062956213, 100000010000001, 108386879161311, 111277817646147, 135198002206161, 185271336356591, 215315336846849, 240507008013453, 292206188868639, 300000030000003, 325160637483933, 445590503218723, 517848422659597, 555814009069773, 645946010540547, 721521024040359, 876618566605917, 900000090000009, 1336771509656169, 1553545267978791, 1667442027209319, 1937838031621641, 2164563072121077, 2629855699817751, 3603876329379881, 4010314528968507, 4188288707117159, 4660635803936373, 5002326081627957, 5813514094864923, 7966667463333413, 10811628988139643, 12030943586905521, 12564866121351477, 13981907411809119, 19160391638405089, 23279093046534907, 23900002390000239, 32434886964418929, 37694598364054431, 57481174915215267, 69837279139604721, 71700007170000717, 97304660893256787, 113083795092163293, 154966682163334883, 172443524745645801, 209511837418814163, 215100021510002151, 464900046490004649, 517330574236937403, 628535512256442489, 861326442721791559, 1001001001001001001, 1394700139470013947, 2583979328165374677, 3003003003003003003, 4184100418410041841, 7751937984496124031, 9009009009009009009, 23255813953488372093, 27027027027027027027, 37037037037037037037, 111111111111111111111, 333333333333333333333, 999999999999999999999 |
| 9999999999999999999999 | is divisible by: | 1, 3, 9, 11, 23, 33, 69, 99, 121, 207, 253, 363, 759, 1089, 2277, 2783, 4093, 8349, 8779, 12279, 21649, 25047, 26337, 36837, 45023, 64947, 79011, 94139, 96569, 135069, 194841, 201917, 238139, 282417, 289707, 405207, 495253, 497927, 513239, 605751, 714417, 847251, 869121, 1035529, 1062259, 1485759, 1493781, 1539717, 1817253, 2143251, 2221087, 2619529, 3106587, 3186777, 4457277, 4481343, 4619151, 5477197, 5645629, 6663261, 7858587, 9319761, 9560331, 11390819, 11804497, 16431591, 16936887, 19989783, 23575761, 24431957, 34172457, 35413491, 35932447, 49294773, 50810661, 60249167, 62101919, 73295871, 88609357, 102517371, 106240473, 107797341, 129849467, 180747501, 186305757, 190056571, 219887613, 265828071, 323392023, 389548401, 395256917, 542242503, 558917271, 570169713, 797484213, 826446281, 974702927, 1168645203, 1185770751, 1428344137, 1710509139, 2038015211, 2090622281, 2100687227, 2479338843, 2924108781, 3557312253, 4285032411, 4347826087, 4371301133, 4505725181, 6114045633, 6271866843, 6302061681, 7438016529, 8772326343, 9090909091, 10721732197, 11111111111, 12855097233, 13043478261, 13113903399, 13517175543, 18342136899, 18815600529, 18906185043, 22418167321, 22996845091, 23107559497, 27272727273, 32165196591, 33333333333, 39130434783, 39341710197, 40551526629, 48084312463, 48315806221, 49562976991, 67254501963, 68990535273, 69322678491, 81818181819, 96495589773, 99999999999, 100000000001, 103631679163, 122222222221, 144252937389, 144947418663, 148688930973, 201763505889, 206971605819, 207968035473, 246599840531, 254183154467, 255555555553, 300000000003, 310895037489, 366666666663, 432758812167, 434842255989, 446066792919, 528927437093, 531473868431, 545192746901, 739799521593, 762549463401, 766666666659, 777901545103, 900000000009, 932685112467, 1099999999989, 1139948470793, 1344444444431, 1586782311279, 1594421605293, 1635578240703, 2219398564779, 2287648390203, 2299999999977, 2333704635309, 2811111111083, 3419845412379, 4033333333293, 4760346933837, 4783264815879, 4906734722109, 5846212552741, 7001113905927, 8433333333249, 8556916996133, 10259536237137, 12099999999879, 12539433178723, 17538637658223, 17891735537369, 18441933165833, 25299999999747, 25670750988399, 30922222221913, 37618299536169, 45477777777323, 52615912974669, 53675206612107, 55325799497499, 77012252965197, 92766666665739, 94126086957463, 97544444443469, 112854898608507, 136433333331969, 161025619836321, 165977398492497, 196809090911059, 202861264824163, 278299999997217, 282378260872389, 292633333330407, 409299999995907, 424164462814159, 500255555550553, 590427272733177, 608583794472489, 847134782617167, 877899999991221, 1045988888878429, 1072988888878159, 1272493388442477, 1500766666651659, 1771281818199531, 1825751383417467, 2164900000021649, 2231473913065793, 2243522222199787, 3137966666635287, 3218966666634477, 3817480165327431, 4502299999954977, 4665809090955749, 5502811111056083, 6494700000064947, 6694421739197379, 6730566666599361, 9413899999905861, 9656899999903431, 11505877777662719, 11802877777659749, 13997427272867247, 16508433333168249, 19484100000194841, 20083265217592137, 20191699999798083, 24678744444197657, 34517633332988157, 35408633332979247, 41992281818601741, 49525299999504747, 51323900000513239, 74036233332592971, 103552899998964471, 106225899998937741, 126564655554289909, 153971700001539717, 222108699997778913, 271466188886174227, 379693966662869727, 399249411107118617, 461915100004619151, 814398566658522681, 1139081899988609181, 1197748233321355851, 2443195699975568043, 3593244699964067553, 4391743522178304787, 9182736455463728191, 13175230566534914361, 27548209366391184573, 39525691699604743083, 48309178743961352657, 82644628099173553719, 101010101010101010101, 144927536231884057971, 303030303030303030303, 434782608695652173913, 909090909090909090909, 1111111111111111111111, 3333333333333333333333, 9999999999999999999999 |
As the reciprocal of the number with n nines in a row (1/999...999 = 1/(10n-1)) has the decimal expansion 0.000...0001 (with n-1 zeroes), any multiple K/(10n-1) with K<10n would repeat the digits of K over and over again in its decimal expansion.
So if 1/N is going to have period length n in its decimal expansion, it is going to be a whole number multiple of 1/(10n-1).
And if 1/N = K/(10n-1), then (10n-1)/N = K, a whole number.
So N must be a divisor of 10n-1 for it to have a repeating decimal expansion of length n.
So any N whose reciprocal 1/N has a repeating decimal expansion of period n is listed above as a divisor of 999...999=10n-1.