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131600138364 = 22323655559399
BaseRepresentation
bin111101010001111111…
…0101100000001111100
3110120200102212200210200
41322203332230001330
54124004113411424
6140242315403500
712336113501532
oct1724376540174
9416612780720
10131600138364
11508a1935832
1221608753590
13c543558576
146525bd8152
15365358d8c9
hex1ea3fac07c

131600138364 has 18 divisors (see below), whose sum is σ = 332655905400. Its totient is φ = 43866712776.

The previous prime is 131600138359. The next prime is 131600138399. The reversal of 131600138364 is 463831006131.

131600138364 is a `hidden beast` number, since 1 + 3 + 1 + 600 + 13 + 8 + 36 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3655559399 = 131600138364 / (1 + 3 + 1 + 6 + 0 + 0 + 1 + 3 + 8 + 3 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1827779664 + ... + 1827779735.

Almost surely, 2131600138364 is an apocalyptic number.

It is an amenable number.

131600138364 is an abundant number, since it is smaller than the sum of its proper divisors (201055767036).

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

131600138364 is a wasteful number, since it uses less digits than its factorization.

131600138364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655559409 (or 3655559404 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 131600138364 in words is "one hundred thirty-one billion, six hundred million, one hundred thirty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3655559399 7311118798 10966678197 14622237596 21933356394 32900034591 43866712788 65800069182 131600138364