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131396512 = 2513315857
BaseRepresentation
bin1111101010011…
…11001110100000
3100011020122010111
413311033032200
5232114142022
621012141104
73153565132
oct765171640
9304218114
10131396512
1168196165
1238007794
13212b7320
1413645052
15b807477
hex7d4f3a0

131396512 has 24 divisors (see below), whose sum is σ = 278586756. Its totient is φ = 60644352.

The previous prime is 131396483. The next prime is 131396549. The reversal of 131396512 is 215693131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 129868816 + 1527696 = 11396^2 + 1236^2 .

It is a super-3 number, since 3×1313965123 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 157513 + ... + 158344.

Almost surely, 2131396512 is an apocalyptic number.

It is an amenable number.

131396512 is an abundant number, since it is smaller than the sum of its proper divisors (147190244).

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

131396512 is a wasteful number, since it uses less digits than its factorization.

131396512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315880 (or 315872 counting only the distinct ones).

The product of its digits is 4860, while the sum is 31.

The square root of 131396512 is about 11462.8317618292. The cubic root of 131396512 is about 508.3872055659.

The spelling of 131396512 in words is "one hundred thirty-one million, three hundred ninety-six thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 315857 631714 1263428 2526856 4106141 5053712 8212282 10107424 16424564 32849128 65698256 131396512