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232030131300000 = 25325511107219041
BaseRepresentation
bin110100110000011110111001…
…100011011010011010100000
31010102112212022210112022010200
4310300132321203122122200
5220403040202103100000
62141253100520025200
766605423646234555
oct6460367143323240
91112485283468120
10232030131300000
1167a28476118910
1222034bb1602200
139c614695a9997
1441424654c6a2c
151bc5982258500
hexd307b98da6a0

232030131300000 has 864 divisors, whose sum is σ = 908131078266048. Its totient is φ = 55723776000000.

The previous prime is 232030131299987. The next prime is 232030131300073. The reversal of 232030131300000 is 3131030232.

232030131300000 is a `hidden beast` number, since 2 + 32 + 0 + 301 + 31 + 300 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1059190480 + ... + 1059409520.

It is an arithmetic number, because the mean of its divisors is an integer number (1051077636882).

Almost surely, 2232030131300000 is an apocalyptic number.

232030131300000 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 232030131300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454065539133024).

232030131300000 is an abundant number, since it is smaller than the sum of its proper divisors (676100946966048).

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

232030131300000 is a wasteful number, since it uses less digits than its factorization.

232030131300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219200 (or 219169 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 232030131300000 its reverse (3131030232), we get a palindrome (232033262330232).

The spelling of 232030131300000 in words is "two hundred thirty-two trillion, thirty billion, one hundred thirty-one million, three hundred thousand".