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131141140010340 = 2235181111591082141
BaseRepresentation
bin11101110100010110101101…
…000100001101010101100100
3122012022222012112021010012020
4131310112231010031111210
5114142104023320312330
61142525224044423140
736423430462563225
oct3564265504152544
9565288175233166
10131141140010340
1138870710769969
1212860046547ab0
135823730661b35
14245539d3c924c
151026436b6c210
hex7745ad10d564

131141140010340 has 96 divisors (see below), whose sum is σ = 369257323518720. Its totient is φ = 34774612185600.

The previous prime is 131141140010339. The next prime is 131141140010383. The reversal of 131141140010340 is 43010041141131.

It is a self number, because there is not a number n which added to its sum of digits gives 131141140010340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120645670 + ... + 121727810.

It is an arithmetic number, because the mean of its divisors is an integer number (3846430453320).

Almost surely, 2131141140010340 is an apocalyptic number.

131141140010340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141140010340 is an abundant number, since it is smaller than the sum of its proper divisors (238116183508380).

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

131141140010340 is a wasteful number, since it uses less digits than its factorization.

131141140010340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093493 (or 1093491 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131141140010340 its reverse (43010041141131), we get a palindrome (174151181151471).

The spelling of 131141140010340 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred forty million, ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 181 362 543 724 905 1086 1810 2172 2715 3620 5430 10860 11159 22318 33477 44636 55795 66954 111590 133908 167385 223180 334770 669540 1082141 2019779 2164282 3246423 4039558 4328564 5410705 6059337 6492846 8079116 10098895 10821410 12118674 12985692 16232115 20197790 21642820 24237348 30296685 32464230 40395580 60593370 64928460 121186740 195867521 391735042 587602563 783470084 979337605 1175205126 1958675210 2350410252 2938012815 3917350420 5876025630 11752051260 12075611419 24151222838 36226834257 48302445676 60378057095 72453668514 120756114190 144907337028 181134171285 241512228380 362268342570 724536685140 2185685666839 4371371333678 6557057000517 8742742667356 10928428334195 13114114001034 21856856668390 26228228002068 32785285002585 43713713336780 65570570005170 131141140010340