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232101210000 = 24354112979307
BaseRepresentation
bin1101100000101001001…
…1110110011110010000
3211012002112101010010010
43120022103312132100
512300320402210000
6254343102234520
722524453506352
oct3301223663620
9735075333103
10232101210000
118a48509a420
1238b96285a40
1318b6bb06aaa
14b33b60d0d2
1560867a3d50
hex360a4f6790

232101210000 has 800 divisors, whose sum is σ = 859045017600. Its totient is φ = 53464320000.

The previous prime is 232101209993. The next prime is 232101210031. The reversal of 232101210000 is 12101232.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 756029847 + ... + 756030153.

It is an arithmetic number, because the mean of its divisors is an integer number (1073806272).

Almost surely, 2232101210000 is an apocalyptic number.

232101210000 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 232101210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429522508800).

232101210000 is an abundant number, since it is smaller than the sum of its proper divisors (626943807600).

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

232101210000 is a wasteful number, since it uses less digits than its factorization.

232101210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 436 counting only the distinct ones).

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

Adding to 232101210000 its reverse (12101232), we get a palindrome (232113311232).

The spelling of 232101210000 in words is "two hundred thirty-two billion, one hundred one million, two hundred ten thousand".