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131323931640 = 233351171155693
BaseRepresentation
bin111101001001110000…
…1000010101111111000
3110112222012010221102000
41322103201002233320
54122422411303030
6140155051341000
712326221000236
oct1722341025770
9415865127360
10131323931640
115076aa32610
1221550151760
13c4cb26b635
1464db259956
1536391ce860
hex1e93842bf8

131323931640 has 256 divisors, whose sum is σ = 484270617600. Its totient is φ = 31387507200.

The previous prime is 131323931639. The next prime is 131323931653. The reversal of 131323931640 is 46139323131.

It is a happy number.

131323931640 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 3 + 9 + 3 + 1 + 640 = 666.

131323931640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 131323931595 and 131323931604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 765634 + ... + 921326.

It is an arithmetic number, because the mean of its divisors is an integer number (1891682100).

Almost surely, 2131323931640 is an apocalyptic number.

131323931640 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 131323931640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242135308800).

131323931640 is an abundant number, since it is smaller than the sum of its proper divisors (352946685960).

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

131323931640 is a wasteful number, since it uses less digits than its factorization.

131323931640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155795 (or 155785 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 131323931640 in words is "one hundred thirty-one billion, three hundred twenty-three million, nine hundred thirty-one thousand, six hundred forty".