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23231300002100 = 22522299413107773
BaseRepresentation
bin1010100100000111101010…
…11000100110000100110100
310001020220001020111022121022
411102003311120212010310
511021110200300031400
6121224151211240312
74615256161611311
oct522036530460464
9101226036438538
1023231300002100
117447380237843
12273246b449098
13cc6918933ab8
145a45881a1d08
152a4475868b85
hex1520f5626134

23231300002100 has 72 divisors (see below), whose sum is σ = 50637909200760. Its totient is φ = 9250872583680.

The previous prime is 23231300002069. The next prime is 23231300002139. The reversal of 23231300002100 is 120000313232.

It can be written as a sum of positive squares in 12 ways, for example, as 714775557136 + 22516524444964 = 845444^2 + 4745158^2 .

It is a super-3 number, since 3×232313000021003 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 215503814 + ... + 215611586.

It is an arithmetic number, because the mean of its divisors is an integer number (703304294455).

Almost surely, 223231300002100 is an apocalyptic number.

23231300002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23231300002100 is an abundant number, since it is smaller than the sum of its proper divisors (27406609198660).

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

23231300002100 is a wasteful number, since it uses less digits than its factorization.

23231300002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117429 (or 117422 counting only the distinct ones).

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

Adding to 23231300002100 its reverse (120000313232), we get a palindrome (23351300315332).

The spelling of 23231300002100 in words is "twenty-three trillion, two hundred thirty-one billion, three hundred million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 229 458 916 1145 2290 4580 5725 9413 11450 18826 22900 37652 47065 94130 107773 188260 215546 235325 431092 470650 538865 941300 1077730 2155460 2155577 2694325 4311154 5388650 8622308 10777300 10777885 21555770 24680017 43111540 49360034 53889425 98720068 107778850 123400085 215557700 246800170 493600340 617000425 1014467249 1234000850 2028934498 2468001700 4057868996 5072336245 10144672490 20289344980 25361681225 50723362450 101446724900 232313000021 464626000042 929252000084 1161565000105 2323130000210 4646260000420 5807825000525 11615650001050 23231300002100