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131536116 = 22331217927
BaseRepresentation
bin1111101011100…
…01010011110100
3100011111201122000
413311301103310
5232133123431
621015135300
73155016135
oct765612364
9304451560
10131536116
1168281038
1238074530
1321335a2a
141367dc8c
15b8339e6
hex7d714f4

131536116 has 24 divisors (see below), whose sum is σ = 341019840. Its totient is φ = 43845336.

The previous prime is 131536109. The next prime is 131536129. The reversal of 131536116 is 611635131.

131536116 is a `hidden beast` number, since 13 + 1 + 536 + 116 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 131536116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 608856 + ... + 609071.

It is an arithmetic number, because the mean of its divisors is an integer number (14209160).

Almost surely, 2131536116 is an apocalyptic number.

It is an amenable number.

131536116 is an abundant number, since it is smaller than the sum of its proper divisors (209483724).

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

131536116 is a wasteful number, since it uses less digits than its factorization.

131536116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217940 (or 1217932 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 131536116 is about 11468.9195655040. The cubic root of 131536116 is about 508.5671894579.

The spelling of 131536116 in words is "one hundred thirty-one million, five hundred thirty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1217927 2435854 3653781 4871708 7307562 10961343 14615124 21922686 32884029 43845372 65768058 131536116