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21300112100 = 2252213001121
BaseRepresentation
bin10011110101100101…
…011110101011100100
32000222102220210202202
4103311211132223210
5322110312041400
613441331154032
71352556652121
oct236545365344
960872823682
1021300112100
1190403a3533
124165445918
132015b51937
141060c35748
15849e7e4d5
hex4f595eae4

21300112100 has 18 divisors (see below), whose sum is σ = 46221243474. Its totient is φ = 8520044800.

The previous prime is 21300112087. The next prime is 21300112103. The reversal of 21300112100 is 121100312.

It can be written as a sum of positive squares in 3 ways, for example, as 4113426496 + 17186685604 = 64136^2 + 131098^2 .

It is not an unprimeable number, because it can be changed into a prime (21300112103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 106500461 + ... + 106500660.

Almost surely, 221300112100 is an apocalyptic number.

21300112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21300112100 is an abundant number, since it is smaller than the sum of its proper divisors (24921131374).

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

21300112100 is a wasteful number, since it uses less digits than its factorization.

21300112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213001135 (or 213001128 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 21300112100 its reverse (121100312), we get a palindrome (21421212412).

The spelling of 21300112100 in words is "twenty-one billion, three hundred million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 213001121 426002242 852004484 1065005605 2130011210 4260022420 5325028025 10650056050 21300112100