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131371164 = 22323798627
BaseRepresentation
bin1111101010010…
…01000010011100
3100011012100100200
413311021002130
5232112334124
621011423500
73153431211
oct765110234
9304170320
10131371164
1168179111
1237bb4b90
13212a8922
1413639b08
15b7eebc9
hex7d4909c

131371164 has 36 divisors (see below), whose sum is σ = 341055624. Its totient is φ = 42606432.

The previous prime is 131371151. The next prime is 131371169. The reversal of 131371164 is 461173131.

131371164 is a `hidden beast` number, since 131 + 371 + 164 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131371169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47982 + ... + 50645.

Almost surely, 2131371164 is an apocalyptic number.

It is an amenable number.

131371164 is an abundant number, since it is smaller than the sum of its proper divisors (209684460).

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

131371164 is a wasteful number, since it uses less digits than its factorization.

131371164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98674 (or 98669 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 131371164 is about 11461.7260480261. The cubic root of 131371164 is about 508.3545120861.

The spelling of 131371164 in words is "one hundred thirty-one million, three hundred seventy-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 98627 197254 295881 394508 591762 887643 1183524 1775286 3550572 3649199 7298398 10947597 14596796 21895194 32842791 43790388 65685582 131371164