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232320120000 = 263547272663
BaseRepresentation
bin1101100001011101011…
…0111011010011000000
3211012122210021220011220
43120113112323103000
512301242422320000
6254420522235040
722533052303053
oct3302726732300
9735583256156
10232320120000
118a587718781
1239037655a80
1318ba5282337
14b35c714a9a
15609aae61a0
hex36175bb4c0

232320120000 has 280 divisors, whose sum is σ = 769449897216. Its totient is φ = 61843584000.

The previous prime is 232320119947. The next prime is 232320120017. The reversal of 232320120000 is 21023232.

232320120000 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 (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 87238669 + ... + 87241331.

Almost surely, 2232320120000 is an apocalyptic number.

232320120000 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 232320120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384724948608).

232320120000 is an abundant number, since it is smaller than the sum of its proper divisors (537129777216).

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

232320120000 is an equidigital number, since it uses as much as digits as its factorization.

232320120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 232320120000 its reverse (21023232), we get a palindrome (232341143232).

The spelling of 232320120000 in words is "two hundred thirty-two billion, three hundred twenty million, one hundred twenty thousand".