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220102012131210 = 233511149497371957
BaseRepresentation
bin110010000010111001111110…
…001111110101011110001010
31001212022112202122220202121000
4302002321332033311132022
5212322122410101144320
62100041245105355430
764234563021213606
oct6202717617653612
91055275678822530
10220102012131210
1164149814889440
12208292b2638b76
1395a76b8bb6321
143c4cdcc238506
151a6a559b1bc90
hexc82e7e3f578a

220102012131210 has 128 divisors (see below), whose sum is σ = 644594057568000. Its totient is φ = 52999955631360.

The previous prime is 220102012131187. The next prime is 220102012131227. The reversal of 220102012131210 is 12131210201022.

220102012131210 is a `hidden beast` number, since 2 + 201 + 0 + 20 + 121 + 312 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248243449 + ... + 249128508.

It is an arithmetic number, because the mean of its divisors is an integer number (5035891074750).

Almost surely, 2220102012131210 is an apocalyptic number.

220102012131210 is an abundant number, since it is smaller than the sum of its proper divisors (424492045436790).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220102012131210 is a wasteful number, since it uses less digits than its factorization.

220102012131210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497372133 (or 497372127 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 220102012131210 its reverse (12131210201022), we get a palindrome (232233222332232).

The spelling of 220102012131210 in words is "two hundred twenty trillion, one hundred two billion, twelve million, one hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 149 165 198 270 297 298 330 447 495 594 745 894 990 1341 1485 1490 1639 2235 2682 2970 3278 4023 4470 4917 6705 8046 8195 9834 13410 14751 16390 20115 24585 29502 40230 44253 49170 73755 88506 147510 221265 442530 497371957 994743914 1492115871 2486859785 2984231742 4476347613 4973719570 5471091527 7460579355 8952695226 10942183054 13429042839 14921158710 16413274581 22381738065 26858085678 27355457635 32826549162 44763476130 49239823743 54710915270 67145214195 74108421593 82066372905 98479647486 134290428390 147719471229 148216843186 164132745810 222325264779 246199118715 295438942458 370542107965 444650529558 492398237430 666975794337 738597356145 741084215930 815192637523 1111626323895 1333951588674 1477194712290 1630385275046 2000927383011 2223252647790 2445577912569 3334878971685 4001854766022 4075963187615 4891155825138 6669757943370 7336733737707 8151926375230 10004636915055 12227889562845 14673467475414 20009273830110 22010201213121 24455779125690 36683668688535 44020402426242 73367337377070 110051006065605 220102012131210