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131456993 is a prime number
BaseRepresentation
bin1111101010111…
…01111111100001
3100011100201002112
413311131333201
5232123110433
621013325105
73154236353
oct765357741
9304321075
10131456993
1168227648
1238036795
1321308a05
141365d0d3
15b81a348
hex7d5dfe1

131456993 has 2 divisors, whose sum is σ = 131456994. Its totient is φ = 131456992.

The previous prime is 131456987. The next prime is 131457043. The reversal of 131456993 is 399654131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127080529 + 4376464 = 11273^2 + 2092^2 .

It is a cyclic number.

It is not a de Polignac number, because 131456993 - 26 = 131456929 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131456993.

It is not a weakly prime, because it can be changed into another prime (131456093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65728496 + 65728497.

It is an arithmetic number, because the mean of its divisors is an integer number (65728497).

Almost surely, 2131456993 is an apocalyptic number.

It is an amenable number.

131456993 is a deficient number, since it is larger than the sum of its proper divisors (1).

131456993 is an equidigital number, since it uses as much as digits as its factorization.

131456993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 87480, while the sum is 41.

The square root of 131456993 is about 11465.4695935230. The cubic root of 131456993 is about 508.4651960940.

The spelling of 131456993 in words is "one hundred thirty-one million, four hundred fifty-six thousand, nine hundred ninety-three".