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131315251 = 19411011669
BaseRepresentation
bin1111101001110…
…11011000110011
3100011002111122211
413310323120303
5232104042001
621010312551
73153106204
oct764733063
9304074584
10131315251
1168140101
1237b88757
1321289342
14136235ab
15b7dd351
hex7d3b633

131315251 has 16 divisors (see below), whose sum is σ = 143085600. Its totient is φ = 120096000.

The previous prime is 131315237. The next prime is 131315267. The reversal of 131315251 is 152513131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131315251 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131315221) 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 15 ways as a sum of consecutive naturals, for example, 77845 + ... + 79513.

It is an arithmetic number, because the mean of its divisors is an integer number (8942850).

Almost surely, 2131315251 is an apocalyptic number.

131315251 is a deficient number, since it is larger than the sum of its proper divisors (11770349).

131315251 is a wasteful number, since it uses less digits than its factorization.

131315251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830.

The product of its digits is 450, while the sum is 22.

The square root of 131315251 is about 11459.2866706440. The cubic root of 131315251 is about 508.2823814439.

Adding to 131315251 its reverse (152513131), we get a palindrome (283828382).

The spelling of 131315251 in words is "one hundred thirty-one million, three hundred fifteen thousand, two hundred fifty-one".

Divisors: 1 19 41 101 779 1669 1919 4141 31711 68429 78679 168569 1300151 3202811 6911329 131315251