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131092493 = 729727581
BaseRepresentation
bin1111101000001…
…01000000001101
3100010200012002112
413310011000031
5232024424433
621001433405
73151160600
oct764050015
9303605075
10131092493
1167aa8804
1237a9b865
132120bb2c
14135a6337
15b797348
hex7d0500d

131092493 has 12 divisors (see below), whose sum is σ = 154073052. Its totient is φ = 111202560.

The previous prime is 131092487. The next prime is 131092501. The reversal of 131092493 is 394290131.

It can be written as a sum of positive squares in 2 ways, for example, as 106461124 + 24631369 = 10318^2 + 4963^2 .

It is not a de Polignac number, because 131092493 - 224 = 114315277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131092463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9038 + ... + 18543.

It is an arithmetic number, because the mean of its divisors is an integer number (12839421).

Almost surely, 2131092493 is an apocalyptic number.

It is an amenable number.

131092493 is a deficient number, since it is larger than the sum of its proper divisors (22980559).

131092493 is an equidigital number, since it uses as much as digits as its factorization.

131092493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27692 (or 27685 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 131092493 is about 11449.5630047614. The cubic root of 131092493 is about 507.9948087282.

The spelling of 131092493 in words is "one hundred thirty-one million, ninety-two thousand, four hundred ninety-three".

Divisors: 1 7 49 97 679 4753 27581 193067 1351469 2675357 18727499 131092493