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232900105248531 = 327261139257924151
BaseRepresentation
bin110100111101001001001000…
…000010101001111100010011
31010112122000212202222221002200
4310331021020002221330103
5221011313403420423111
62143200455321014243
7100025322502624500
oct6475111002517423
91115560782887080
10232900105248531
116823341a7a0836
1222155726024383
139cc550247c016
1441725d4c024a7
151bdd3ed712256
hexd3d2480a9f13

232900105248531 has 144 divisors (see below), whose sum is σ = 400784335660800. Its totient is φ = 129906513072000.

The previous prime is 232900105248527. The next prime is 232900105248659. The reversal of 232900105248531 is 135842501009232.

232900105248531 is a `hidden beast` number, since 2 + 3 + 2 + 9 + 0 + 0 + 10 + 524 + 85 + 31 = 666.

It is not a de Polignac number, because 232900105248531 - 22 = 232900105248527 is a prime.

It is a super-2 number, since 2×2329001052485312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232900105248511) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9643485306 + ... + 9643509456.

It is an arithmetic number, because the mean of its divisors is an integer number (2783224553200).

Almost surely, 2232900105248531 is an apocalyptic number.

232900105248531 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

232900105248531 is a deficient number, since it is larger than the sum of its proper divisors (167884230412269).

232900105248531 is a wasteful number, since it uses less digits than its factorization.

232900105248531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26950 (or 26940 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 232900105248531 in words is "two hundred thirty-two trillion, nine hundred billion, one hundred five million, two hundred forty-eight thousand, five hundred thirty-one".

Divisors: 1 3 7 9 21 49 61 63 139 147 183 417 427 441 549 973 1251 1281 2579 2919 2989 3843 6811 7737 8479 8757 8967 18053 20433 23211 24151 25437 26901 54159 59353 61299 72453 76311 126371 157319 162477 169057 178059 217359 358481 379113 415471 471957 507171 534177 1075443 1101233 1137339 1183399 1246413 1415871 1473211 1521513 2509367 3226329 3303699 3356989 3550197 3739239 4419633 7528101 7708631 9911097 10070967 10312477 10650591 13258899 17565569 21867341 22584303 23125893 23498923 30212901 30937431 52696707 62285429 65602023 69377679 70496769 72187339 92812293 153071387 158090121 164492461 186856287 196806069 204776329 211490307 216562017 435998003 459214161 493477383 560568861 614328987 649686051 1071499709 1307994009 1377642483 1433434303 1480432149 1842986961 3051986021 3214499127 3799411169 3923982027 4300302909 8657674631 9155958063 9643497381 10034040121 11398233507 12900908727 25973023893 26595878183 27467874189 30102120363 34194700521 60603722417 77919071679 79787634549 90306361089 181811167251 186171147281 239362903647 424226056919 528118152491 545433501753 558513441843 1272678170757 1584354457473 1675540325529 3696827067437 3818034512271 4753063372419 11090481202311 25877789472059 33271443606933 77633368416177 232900105248531