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131310320232 = 233713591795693
BaseRepresentation
bin111101001001010110…
…1000111101001101000
3110112221020112102001210
41322102231013221220
54122410420221412
6140153443513120
712325664206650
oct1722255075150
9415836472053
10131310320232
1150763286113
12215476887a0
13c4c84b4050
1464d9515360
153637de183c
hex1e92b47a68

131310320232 has 256 divisors, whose sum is σ = 413247744000. Its totient is φ = 33848183808.

The previous prime is 131310320227. The next prime is 131310320263. The reversal of 131310320232 is 232023013131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 131310320199 and 131310320208.

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, 23062378 + ... + 23068070.

It is an arithmetic number, because the mean of its divisors is an integer number (1614249000).

Almost surely, 2131310320232 is an apocalyptic number.

131310320232 is a gapful number since it is divisible by the number (12) 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 131310320232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206623872000).

131310320232 is an abundant number, since it is smaller than the sum of its proper divisors (281937423768).

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

131310320232 is a wasteful number, since it uses less digits than its factorization.

131310320232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5960 (or 5956 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 131310320232 its reverse (232023013131), we get a palindrome (363333333363).

The spelling of 131310320232 in words is "one hundred thirty-one billion, three hundred ten million, three hundred twenty thousand, two hundred thirty-two".