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131140057 = 1761126461
BaseRepresentation
bin1111101000100…
…00100111011001
3100010202121100011
413310100213121
5232032440212
621002441521
73151446346
oct764204731
9303677304
10131140057
1168030514
1237b032a1
1321227689
14135b97cd
15b7a64a7
hex7d109d9

131140057 has 8 divisors (see below), whose sum is σ = 141131592. Its totient is φ = 121401600.

The previous prime is 131140049. The next prime is 131140063. The reversal of 131140057 is 750041131.

It can be written as a sum of positive squares in 4 ways, for example, as 8462281 + 122677776 = 2909^2 + 11076^2 .

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 131140057 - 23 = 131140049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131140007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62194 + ... + 64267.

It is an arithmetic number, because the mean of its divisors is an integer number (17641449).

Almost surely, 2131140057 is an apocalyptic number.

131140057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

131140057 is a deficient number, since it is larger than the sum of its proper divisors (9991535).

131140057 is a wasteful number, since it uses less digits than its factorization.

131140057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126539.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 131140057 is about 11451.6399262289. The cubic root of 131140057 is about 508.0562395111.

Adding to 131140057 its reverse (750041131), we get a palindrome (881181188).

The spelling of 131140057 in words is "one hundred thirty-one million, one hundred forty thousand, fifty-seven".

Divisors: 1 17 61 1037 126461 2149837 7714121 131140057