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131141100014340 = 223513499336933097
BaseRepresentation
bin11101110100010110101010…
…101011101000101100000100
3122012022222002202000002222220
4131310112222223220230010
5114142103433100424330
61142525220055252340
736423426465612633
oct3564265253505404
9565288082002886
10131141100014340
11388706a0131319
121286003507a0b0
13582372529a070
142455397d7751a
1510264333bb710
hex7745aaae8b04

131141100014340 has 96 divisors (see below), whose sum is σ = 396233323248000. Its totient is φ = 32216194907136.

The previous prime is 131141100014321. The next prime is 131141100014371. The reversal of 131141100014340 is 43410001141131.

It is a super-2 number, since 2×1311411000143402 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131141100014340.

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, 168077329 + ... + 168855768.

It is an arithmetic number, because the mean of its divisors is an integer number (4127430450500).

Almost surely, 2131141100014340 is an apocalyptic number.

131141100014340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141100014340 is an abundant number, since it is smaller than the sum of its proper divisors (265092223233660).

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

131141100014340 is a wasteful number, since it uses less digits than its factorization.

131141100014340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336933621 (or 336933619 counting only the distinct ones).

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

Adding to 131141100014340 its reverse (43410001141131), we get a palindrome (174551101155471).

The spelling of 131141100014340 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred million, fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 499 780 998 1497 1996 2495 2994 4990 5988 6487 7485 9980 12974 14970 19461 25948 29940 32435 38922 64870 77844 97305 129740 194610 389220 336933097 673866194 1010799291 1347732388 1684665485 2021598582 3369330970 4043197164 4380130261 5053996455 6738661940 8760260522 10107992910 13140390783 17520521044 20215985820 21900651305 26280781566 43801302610 52561563132 65701953915 87602605220 131403907830 168129615403 262807815660 336259230806 504388846209 672518461612 840648077015 1008777692418 1681296154030 2017555384836 2185685000239 2521944231045 3362592308060 4371370000478 5043888462090 6557055000717 8742740000956 10087776924180 10928425001195 13114110001434 21856850002390 26228220002868 32785275003585 43713700004780 65570550007170 131141100014340