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23210332100 = 2252232103321
BaseRepresentation
bin10101100111011100…
…011000111111000100
32012220120100000222122
4111213130120333010
5340013321111400
614355045545112
71451113365464
oct254734307704
965816300878
1023210332100
11993069a04a
1245b9115198
13225b823227
1411a27ddba4
1590ca0a685
hex567718fc4

23210332100 has 18 divisors (see below), whose sum is σ = 50366420874. Its totient is φ = 9284132800.

The previous prime is 23210332087. The next prime is 23210332111. The reversal of 23210332100 is 123301232.

It can be written as a sum of positive squares in 3 ways, for example, as 43665664 + 23166666436 = 6608^2 + 152206^2 .

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 5 ways as a sum of consecutive naturals, for example, 116051561 + ... + 116051760.

It is an arithmetic number, because the mean of its divisors is an integer number (2798134493).

Almost surely, 223210332100 is an apocalyptic number.

23210332100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23210332100 is an abundant number, since it is smaller than the sum of its proper divisors (27156088774).

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

23210332100 is a wasteful number, since it uses less digits than its factorization.

23210332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232103335 (or 232103328 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 23210332100 its reverse (123301232), we get a palindrome (23333633332).

The spelling of 23210332100 in words is "twenty-three billion, two hundred ten million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 232103321 464206642 928413284 1160516605 2321033210 4642066420 5802583025 11605166050 23210332100