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232110120000000 = 29357111011741
BaseRepresentation
bin110100110001101001011001…
…010000000101101000000000
31010102211111210100101021110010
4310301221121100011220000
5220410343011210000000
62141353530031304520
766614255103043554
oct6461513120055000
91112744710337403
10232110120000000
1167a59392707050
12220485b567b140
139c68b762862b8
14414629295d864
151bc7ab4743d50
hexd31a59405a00

232110120000000 has 1280 divisors, whose sum is σ = 852048125001216. Its totient is φ = 55680000000000.

The previous prime is 232110119999999. The next prime is 232110120000007. The reversal of 232110120000000 is 21011232.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (232110120000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133319999130 + ... + 133320000870.

Almost surely, 2232110120000000 is an apocalyptic number.

232110120000000 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 232110120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426024062500608).

232110120000000 is an abundant number, since it is smaller than the sum of its proper divisors (619938005001216).

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

232110120000000 is an frugal number, since it uses more digits than its factorization.

232110120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 232110120000000 its reverse (21011232), we get a palindrome (232110141011232).

The spelling of 232110120000000 in words is "two hundred thirty-two trillion, one hundred ten billion, one hundred twenty million", and thus it is an aban number.