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232213132100 = 22524796948409
BaseRepresentation
bin1101100001000011111…
…0110011001101000100
3211012101022222100101002
43120100332303031010
512301033030211400
6254402141152432
722530313025015
oct3302076631504
9735338870332
10232213132100
118a532294124
123900785b718
1318b89062ca1
14b34c42500c
156091510ed5
hex3610fb3344

232213132100 has 36 divisors (see below), whose sum is σ = 503923410900. Its totient is φ = 92881397760.

The previous prime is 232213132097. The next prime is 232213132117. The reversal of 232213132100 is 1231312232.

232213132100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 31315549444 + 200897582656 = 176962^2 + 448216^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4772696 + ... + 4821104.

It is an arithmetic number, because the mean of its divisors is an integer number (13997872525).

Almost surely, 2232213132100 is an apocalyptic number.

232213132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232213132100 is an abundant number, since it is smaller than the sum of its proper divisors (271710278800).

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

232213132100 is a wasteful number, since it uses less digits than its factorization.

232213132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96392 (or 96385 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 232213132100 its reverse (1231312232), we get a palindrome (233444444332).

The spelling of 232213132100 in words is "two hundred thirty-two billion, two hundred thirteen million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 47969 48409 95938 96818 191876 193636 239845 242045 479690 484090 959380 968180 1199225 1210225 2398450 2420450 4796900 4840900 2322131321 4644262642 9288525284 11610656605 23221313210 46442626420 58053283025 116106566050 232213132100