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131302927 = 7612712
BaseRepresentation
bin1111101001110…
…00011000001111
3100011001212202101
413310320120033
5232103143202
621010135531
73153025240
oct764703017
9304055671
10131302927
1168131918
1237b815a7
1321283852
141361ccc7
15b7d9887
hex7d3860f

131302927 has 18 divisors (see below), whose sum is σ = 154739832. Its totient is φ = 109141200.

The previous prime is 131302909. The next prime is 131302937. The reversal of 131302927 is 729203131.

It is not a de Polignac number, because 131302927 - 27 = 131302799 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131302895 and 131302904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131302937) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1849302 + ... + 1849372.

Almost surely, 2131302927 is an apocalyptic number.

131302927 is a deficient number, since it is larger than the sum of its proper divisors (23436905).

131302927 is an frugal number, since it uses more digits than its factorization.

131302927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 131302927 is about 11458.7489282207. The cubic root of 131302927 is about 508.2664800971.

Multiplying 131302927 by its sum of digits (28), we get a square (3676481956 = 606342).

Multiplying 131302927 by its product of nonzero digits (2268), we get a square (297795038436 = 5457062).

The spelling of 131302927 in words is "one hundred thirty-one million, three hundred two thousand, nine hundred twenty-seven".

Divisors: 1 7 61 71 427 497 3721 4331 5041 26047 30317 35287 264191 307501 1849337 2152507 18757561 131302927