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131503995000 = 23325472232593
BaseRepresentation
bin111101001111000111…
…1111011100001111000
3110120102201222002220100
41322132033323201320
54123310010320000
6140225002555400
712333535341300
oct1723617734170
9416381862810
10131503995000
1150852638904
12215a0508b60
13c5296652c1
14651712c600
153649deba00
hex1e9e3fb878

131503995000 has 720 divisors, whose sum is σ = 540432818640. Its totient is φ = 28740096000.

The previous prime is 131503994981. The next prime is 131503995001. The reversal of 131503995000 is 599305131.

131503995000 is a `hidden beast` number, since 13 + 1 + 50 + 3 + 99 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131503995001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 50713704 + ... + 50716296.

It is an arithmetic number, because the mean of its divisors is an integer number (750601137).

Almost surely, 2131503995000 is an apocalyptic number.

131503995000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131503995000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270216409320).

131503995000 is an abundant number, since it is smaller than the sum of its proper divisors (408928823640).

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

131503995000 is a wasteful number, since it uses less digits than its factorization.

131503995000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 18225, while the sum is 36.

The spelling of 131503995000 in words is "one hundred thirty-one billion, five hundred three million, nine hundred ninety-five thousand".