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131141112320110 = 25374359265952541
BaseRepresentation
bin11101110100010110101011…
…011010100101000001101110
3122012022222010121011022100011
4131310112223122211001232
5114142103444223220420
61142525221215123434
736423430005324544
oct3564265332450156
9565288117138304
10131141112320110
11388706a7076882
121286003921357a
1358237279b8299
14245539985bd94
1510264344ec95a
hex7745ab6a506e

131141112320110 has 128 divisors (see below), whose sum is σ = 252376123507200. Its totient is φ = 48987448634880.

The previous prime is 131141112320083. The next prime is 131141112320111. The reversal of 131141112320110 is 11023211141131.

It is a super-2 number, since 2×1311411123201102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141112320111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2495950440 + ... + 2496002980.

It is an arithmetic number, because the mean of its divisors is an integer number (1971688464900).

Almost surely, 2131141112320110 is an apocalyptic number.

131141112320110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131141112320110 is a deficient number, since it is larger than the sum of its proper divisors (121235011187090).

131141112320110 is a wasteful number, since it uses less digits than its factorization.

131141112320110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55346.

The product of its (nonzero) digits is 144, while the sum is 22.

Adding to 131141112320110 its reverse (11023211141131), we get a palindrome (142164323461241).

The spelling of 131141112320110 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred twelve million, three hundred twenty thousand, one hundred ten".

Divisors: 1 2 5 10 37 43 59 74 86 118 185 215 295 370 430 590 1591 2183 2537 2659 3182 4366 5074 5318 7955 10915 12685 13295 15910 21830 25370 26590 52541 93869 98383 105082 114337 156881 187738 196766 228674 262705 313762 469345 491915 525410 571685 784405 938690 983830 1143370 1568810 1944017 2259263 3099919 3888034 4230469 4518526 5804597 6199838 6745883 8460938 9720085 11296315 11609194 13491766 15499595 19440170 21152345 22592630 29022985 30999190 33729415 42304690 58045970 67458830 83592731 114697003 133296517 139706519 167185462 229394006 249597671 266593034 279413038 417963655 499195342 573485015 666482585 698532595 835927310 1146970030 1247988355 1332965170 1397065190 2495976710 4931971129 5169141203 6007380317 8242684621 9863942258 10338282406 12014760634 16485369242 24659855645 25845706015 30036901585 41213423105 49319711290 51691412030 60073803170 82426846210 222273071729 304979330977 354435438703 444546143458 609958661954 708870877406 1111365358645 1524896654885 1772177193515 2222730717290 3049793309770 3544354387030 13114111232011 26228222464022 65570556160055 131141112320110