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131129993 = 172453737
BaseRepresentation
bin1111101000011…
…10001010001001
3100010202002112102
413310032022021
5232032124433
621002323145
73151405121
oct764161211
9303662472
10131129993
11680239a5
1237ab94b5
1321222c17
14135b5c81
15b7a34e8
hex7d0e289

131129993 has 6 divisors (see below), whose sum is σ = 139297566. Its totient is φ = 123416192.

The previous prime is 131129989. The next prime is 131130007. The reversal of 131129993 is 399921131.

It can be written as a sum of positive squares in 3 ways, for example, as 23551609 + 107578384 = 4853^2 + 10372^2 .

It is not a de Polignac number, because 131129993 - 22 = 131129989 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131129893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 226580 + ... + 227157.

It is an arithmetic number, because the mean of its divisors is an integer number (23216261).

Almost surely, 2131129993 is an apocalyptic number.

It is an amenable number.

131129993 is a deficient number, since it is larger than the sum of its proper divisors (8167573).

131129993 is an equidigital number, since it uses as much as digits as its factorization.

131129993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453771 (or 453754 counting only the distinct ones).

The product of its digits is 13122, while the sum is 38.

The square root of 131129993 is about 11451.2005047506. The cubic root of 131129993 is about 508.0432426971.

The spelling of 131129993 in words is "one hundred thirty-one million, one hundred twenty-nine thousand, nine hundred ninety-three".

Divisors: 1 17 289 453737 7713529 131129993