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131090316 = 22374336293
BaseRepresentation
bin1111101000001…
…00011110001100
3100010200002002220
413310010132030
5232024342231
621001415340
73151151340
oct764043614
9303602086
10131090316
1167aa7105
1237a9a550
132120ab46
14135a5620
15b796896
hex7d0478c

131090316 has 48 divisors (see below), whose sum is σ = 357713664. Its totient is φ = 36582336.

The previous prime is 131090293. The next prime is 131090357. The reversal of 131090316 is 613090131.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14535 + ... + 21758.

It is an arithmetic number, because the mean of its divisors is an integer number (7452368).

Almost surely, 2131090316 is an apocalyptic number.

It is an amenable number.

131090316 is an abundant number, since it is smaller than the sum of its proper divisors (226623348).

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

131090316 is a wasteful number, since it uses less digits than its factorization.

131090316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36350 (or 36348 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 131090316 is about 11449.4679352361. The cubic root of 131090316 is about 507.9919966912.

The spelling of 131090316 in words is "one hundred thirty-one million, ninety thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1806 3612 36293 72586 108879 145172 217758 254051 435516 508102 762153 1016204 1524306 1560599 3048612 3121198 4681797 6242396 9363594 10924193 18727188 21848386 32772579 43696772 65545158 131090316