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131726918807141 = 7175918761845721
BaseRepresentation
bin11101111100111000010000…
…001100111110111001100101
3122021101222012110102012100212
4131330320100030332321211
5114231203212203312031
61144054302221145205
736513645563315360
oct3574702014767145
9567358173365325
10131726918807141
1138a77088609a69
12129356866bb205
135866a44c111b8
14247588ca550d7
1510367bd26012b
hex77ce1033ee65

131726918807141 has 16 divisors (see below), whose sum is σ = 162102347038080. Its totient is φ = 104465956968960.

The previous prime is 131726918807137. The next prime is 131726918807149. The reversal of 131726918807141 is 141708819627131.

It is a cyclic number.

It is not a de Polignac number, because 131726918807141 - 22 = 131726918807137 is a prime.

It is a super-2 number, since 2×1317269188071412 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131726918807149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9380915840 + ... + 9380929881.

It is an arithmetic number, because the mean of its divisors is an integer number (10131396689880).

Almost surely, 2131726918807141 is an apocalyptic number.

It is an amenable number.

131726918807141 is a deficient number, since it is larger than the sum of its proper divisors (30375428230939).

131726918807141 is a wasteful number, since it uses less digits than its factorization.

131726918807141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18761845804.

The product of its (nonzero) digits is 4064256, while the sum is 59.

The spelling of 131726918807141 in words is "one hundred thirty-one trillion, seven hundred twenty-six billion, nine hundred eighteen million, eight hundred seven thousand, one hundred forty-one".

Divisors: 1 7 17 59 119 413 1003 7021 18761845721 131332920047 318951377257 1106948897539 2232659640799 7748642282773 18818131258163 131726918807141