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232320013122000 = 24353531279571201
BaseRepresentation
bin110100110100101100110111…
…110110110011100111010000
31010110120120120011022122000110
4310310230313312303213100
5220422312341324401000
62142034201325321320
766635365333123056
oct6464546766634720
91113516504278013
10232320013122000
116802a400923231
1222081212406240
139c828b60b15cb
1441524c49021d6
151bcd29b4b3850
hexd34b37db39d0

232320013122000 has 320 divisors, whose sum is σ = 763729792450560. Its totient is φ = 60735467520000.

The previous prime is 232320013121981. The next prime is 232320013122007. The reversal of 232320013122000 is 221310023232.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232320013122007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 406436400 + ... + 407007600.

It is an arithmetic number, because the mean of its divisors is an integer number (2386655601408).

Almost surely, 2232320013122000 is an apocalyptic number.

232320013122000 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 232320013122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381864896225280).

232320013122000 is an abundant number, since it is smaller than the sum of its proper divisors (531409779328560).

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

232320013122000 is a wasteful number, since it uses less digits than its factorization.

232320013122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572559 (or 572543 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 232320013122000 its reverse (221310023232), we get a palindrome (232541323145232).

The spelling of 232320013122000 in words is "two hundred thirty-two trillion, three hundred twenty billion, thirteen million, one hundred twenty-two thousand".