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21123204100 = 2252415152001
BaseRepresentation
bin10011101011000010…
…101000010000000100
32000112010000221121121
4103223002220100010
5321230020012400
613412011323324
71345311162265
oct235302502004
960463027547
1021123204100
118a5a552979
124116150544
131cb82c124b
14104554496c
1583968721a
hex4eb0a8404

21123204100 has 36 divisors (see below), whose sum is σ = 46955346228. Its totient is φ = 8243200000.

The previous prime is 21123204097. The next prime is 21123204103. The reversal of 21123204100 is 140232112.

It is an interprime number because it is at equal distance from previous prime (21123204097) and next prime (21123204103).

It can be written as a sum of positive squares in 6 ways, for example, as 6106172164 + 15017031936 = 78142^2 + 122544^2 .

It is not an unprimeable number, because it can be changed into a prime (21123204103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2571901 + ... + 2580100.

It is an arithmetic number, because the mean of its divisors is an integer number (1304315173).

Almost surely, 221123204100 is an apocalyptic number.

21123204100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21123204100 is an abundant number, since it is smaller than the sum of its proper divisors (25832142128).

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

21123204100 is a wasteful number, since it uses less digits than its factorization.

21123204100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5152056 (or 5152049 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21123204100 its reverse (140232112), we get a palindrome (21263436212).

The spelling of 21123204100 in words is "twenty-one billion, one hundred twenty-three million, two hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 5152001 10304002 20608004 25760005 51520010 103040020 128800025 211232041 257600050 422464082 515200100 844928164 1056160205 2112320410 4224640820 5280801025 10561602050 21123204100