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131948307 = 3231617753
BaseRepresentation
bin1111101110101…
…01111100010011
3100012021200001100
413313111330103
5232234321212
621032035443
73161353641
oct767257423
9305250040
10131948307
1168532797
1238232b83
132144b52a
141374a191
15b8b5bdc
hex7dd5f13

131948307 has 24 divisors (see below), whose sum is σ = 199991168. Its totient is φ = 83721600.

The previous prime is 131948279. The next prime is 131948353. The reversal of 131948307 is 703849131.

It is a happy number.

It is not a de Polignac number, because 131948307 - 223 = 123559699 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (131948207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13143 + ... + 20895.

Almost surely, 2131948307 is an apocalyptic number.

131948307 is a deficient number, since it is larger than the sum of its proper divisors (68042861).

131948307 is a wasteful number, since it uses less digits than its factorization.

131948307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7851 (or 7848 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 131948307 is about 11486.8754237173. The cubic root of 131948307 is about 509.0978630553.

The spelling of 131948307 in words is "one hundred thirty-one million, nine hundred forty-eight thousand, three hundred seven".

Divisors: 1 3 9 31 61 93 183 279 549 1891 5673 7753 17019 23259 69777 240343 472933 721029 1418799 2163087 4256397 14660923 43982769 131948307