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232113021232320 = 263657327534951
BaseRepresentation
bin110100110001101100000110…
…001011011010010011000000
31010102211210021112120011000000
4310301230012023122103000
5220410414431413413240
62141355125551000000
766614420022106044
oct6461540613322300
91112753245504000
10232113021232320
1167a5a641347908
1222049085209000
139c69219368c07
144146489db6024
151bc7bd42c8430
hexd31b062da4c0

232113021232320 has 784 divisors, whose sum is σ = 840526528231872. Its totient is φ = 61014402662400.

The previous prime is 232113021232289. The next prime is 232113021232361. The reversal of 232113021232320 is 23232120311232.

232113021232320 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 1 + 302 + 1 + 2 + 32 + 320 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 46882045845 + ... + 46882050795.

Almost surely, 2232113021232320 is an apocalyptic number.

232113021232320 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 232113021232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420263264115936).

232113021232320 is an abundant number, since it is smaller than the sum of its proper divisors (608413506999552).

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

232113021232320 is an equidigital number, since it uses as much as digits as its factorization.

232113021232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7812 (or 7787 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 232113021232320 its reverse (23232120311232), we get a palindrome (255345141543552).

The spelling of 232113021232320 in words is "two hundred thirty-two trillion, one hundred thirteen billion, twenty-one million, two hundred thirty-two thousand, three hundred twenty".