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131231013320304 = 24333759182376333
BaseRepresentation
bin11101110101101010011001…
…111011101011011001110000
3122012122120011221202022021000
4131311222121323223121300
5114200042103402222204
61143034410101402000
736433061563243122
oct3565523173533160
9565576157668230
10131231013320304
11388a583a919947
1212875548a09300
13582c0541570a1
142459887549212
151028946d21039
hex775a99eeb670

131231013320304 has 320 divisors, whose sum is σ = 393640148275200. Its totient is φ = 41816530879488.

The previous prime is 131231013320299. The next prime is 131231013320377. The reversal of 131231013320304 is 403023310132131.

131231013320304 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 31 + 0 + 1 + 3 + 320 + 304 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1719152922 + ... + 1719229254.

It is an arithmetic number, because the mean of its divisors is an integer number (1230125463360).

Almost surely, 2131231013320304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131231013320304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196820074137600).

131231013320304 is an abundant number, since it is smaller than the sum of its proper divisors (262409134954896).

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

131231013320304 is a wasteful number, since it uses less digits than its factorization.

131231013320304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78269 (or 78257 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131231013320304 its reverse (403023310132131), we get a palindrome (534254323452435).

The spelling of 131231013320304 in words is "one hundred thirty-one trillion, two hundred thirty-one billion, thirteen million, three hundred twenty thousand, three hundred four".