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131004756 = 22331213007
BaseRepresentation
bin1111100111011…
…11100101010100
3100010111201202000
413303233211110
5232014123011
620555515300
73150344031
oct763574524
9303451660
10131004756
1167a488a3
1237a58b30
13211aac0c
1413582388
15b77b356
hex7cef954

131004756 has 24 divisors (see below), whose sum is σ = 339642240. Its totient is φ = 43668216.

The previous prime is 131004751. The next prime is 131004763. The reversal of 131004756 is 657400131.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131004751) 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 7 ways as a sum of consecutive naturals, for example, 606396 + ... + 606611.

It is an arithmetic number, because the mean of its divisors is an integer number (14151760).

Almost surely, 2131004756 is an apocalyptic number.

It is an amenable number.

131004756 is an abundant number, since it is smaller than the sum of its proper divisors (208637484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131004756 is a wasteful number, since it uses less digits than its factorization.

131004756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213020 (or 1213012 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 131004756 is about 11445.7309071985. The cubic root of 131004756 is about 507.8814539347.

Adding to 131004756 its reverse (657400131), we get a palindrome (788404887).

The spelling of 131004756 in words is "one hundred thirty-one million, four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1213007 2426014 3639021 4852028 7278042 10917063 14556084 21834126 32751189 43668252 65502378 131004756