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131564342061 = 3216199029191
BaseRepresentation
bin111101010000111011…
…0001000101100101101
3110120120221112001111200
41322201312020230231
54123420432421221
6140235000240113
712335200312245
oct1724166105455
9416527461450
10131564342061
1150883706509
12215b8770039
13c539004219
14652115ab25
15365036c426
hex1ea1d88b2d

131564342061 has 12 divisors (see below), whose sum is σ = 190154783520. Its totient is φ = 87655376520.

The previous prime is 131564342059. The next prime is 131564342131. The reversal of 131564342061 is 160243465131.

131564342061 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 643 + 4 + 2 + 0 + 6 + 1 = 666.

It is not a de Polignac number, because 131564342061 - 21 = 131564342059 is a prime.

It is a super-2 number, since 2×1315643420612 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131560342061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4500025 + ... + 4529166.

It is an arithmetic number, because the mean of its divisors is an integer number (15846231960).

Almost surely, 2131564342061 is an apocalyptic number.

It is an amenable number.

131564342061 is a deficient number, since it is larger than the sum of its proper divisors (58590441459).

131564342061 is a wasteful number, since it uses less digits than its factorization.

131564342061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9030816 (or 9030813 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 131564342061 in words is "one hundred thirty-one billion, five hundred sixty-four million, three hundred forty-two thousand, sixty-one".

Divisors: 1 3 9 1619 4857 14571 9029191 27087573 81262719 14618260229 43854780687 131564342061