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131536307 = 743343397
BaseRepresentation
bin1111101011100…
…01010110110011
3100011111201220002
413311301112303
5232133130212
621015140215
73155016530
oct765612663
9304451802
10131536307
11682811a1
123807466b
1321335b46
141367dd87
15b833ac2
hex7d715b3

131536307 has 8 divisors (see below), whose sum is σ = 150677856. Its totient is φ = 112482432.

The previous prime is 131536271. The next prime is 131536337. The reversal of 131536307 is 703635131.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131536307 - 28 = 131536051 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131536307.

It is not an unprimeable number, because it can be changed into a prime (131536337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18668 + ... + 24729.

It is an arithmetic number, because the mean of its divisors is an integer number (18834732).

Almost surely, 2131536307 is an apocalyptic number.

131536307 is a deficient number, since it is larger than the sum of its proper divisors (19141549).

131536307 is an equidigital number, since it uses as much as digits as its factorization.

131536307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43837.

The product of its (nonzero) digits is 5670, while the sum is 29.

The square root of 131536307 is about 11468.9278923533. The cubic root of 131536307 is about 508.5674356167.

The spelling of 131536307 in words is "one hundred thirty-one million, five hundred thirty-six thousand, three hundred seven".

Divisors: 1 7 433 3031 43397 303779 18790901 131536307