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231145807180000 = 2554643131913627
BaseRepresentation
bin110100100011100111010011…
…101110100111000011100000
31010022102022201201200102122111
4310203213103232213003200
5220244043103114230000
62135334530133045104
766454506403236226
oct6443472356470340
91108368651612574
10231145807180000
1167717428215749
1221b11733186794
139bc8c576b251b
144111733dc0b16
151bac97604bcba
hexd239d3ba70e0

231145807180000 has 240 divisors, whose sum is σ = 570011354478720. Its totient is φ = 92237773248000.

The previous prime is 231145807179977. The next prime is 231145807180021. The reversal of 231145807180000 is 81708541132.

231145807180000 is digitally balanced in base 2, 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 (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16962333187 + ... + 16962346813.

It is an arithmetic number, because the mean of its divisors is an integer number (2375047310328).

Almost surely, 2231145807180000 is an apocalyptic number.

231145807180000 is a gapful number since it is divisible by the number (20) 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 231145807180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285005677239360).

231145807180000 is an abundant number, since it is smaller than the sum of its proper divisors (338865547298720).

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

231145807180000 is a wasteful number, since it uses less digits than its factorization.

231145807180000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15619 (or 15596 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 231145807180000 in words is "two hundred thirty-one trillion, one hundred forty-five billion, eight hundred seven million, one hundred eighty thousand".