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131142121144410 = 23511614137638767
BaseRepresentation
bin11101110100010111100111…
…100010111100000001011010
3122012100001201220102220010010
4131310113213202330001122
5114142113031003110120
61142525505253502350
736423464005230345
oct3564274742740132
9565301656386103
10131142121144410
1138871074577472
121286027b0419b6
1358238589c4b3c
14245545382545c
151026492d737e0
hex7745e78bc05a

131142121144410 has 32 divisors (see below), whose sum is σ = 314743809100032. Its totient is φ = 34970930265920.

The previous prime is 131142121144379. The next prime is 131142121144423. The reversal of 131142121144410 is 14441121241131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15335154 + ... + 22303613.

It is an arithmetic number, because the mean of its divisors is an integer number (9835744034376).

Almost surely, 2131142121144410 is an apocalyptic number.

131142121144410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131142121144410 is an abundant number, since it is smaller than the sum of its proper divisors (183601687955622).

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

131142121144410 is a wasteful number, since it uses less digits than its factorization.

131142121144410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37754918.

The product of its (nonzero) digits is 3072, while the sum is 30.

Adding to 131142121144410 its reverse (14441121241131), we get a palindrome (145583242385541).

The spelling of 131142121144410 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred twenty-one million, one hundred forty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 116141 232282 348423 580705 696846 1161410 1742115 3484230 37638767 75277534 112916301 188193835 225832602 376387670 564581505 1129163010 4371404038147 8742808076294 13114212114441 21857020190735 26228424228882 43714040381470 65571060572205 131142121144410