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21300121300 = 2252213001213
BaseRepresentation
bin10011110101100101…
…100000111011010100
32000222102221021101111
4103311211200323110
5322110312340200
613441331304404
71352560021003
oct236545407324
960872837344
1021300121300
1190403aa437
12416544b104
132015b55b93
141060c38c3a
15849e820ba
hex4f5960ed4

21300121300 has 18 divisors (see below), whose sum is σ = 46221263438. Its totient is φ = 8520048480.

The previous prime is 21300121229. The next prime is 21300121303. The reversal of 21300121300 is 312100312.

It can be written as a sum of positive squares in 3 ways, for example, as 1272776976 + 20027344324 = 35676^2 + 141518^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21300121303) 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, 106500507 + ... + 106500706.

Almost surely, 221300121300 is an apocalyptic number.

21300121300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21300121300 is an abundant number, since it is smaller than the sum of its proper divisors (24921142138).

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

21300121300 is a wasteful number, since it uses less digits than its factorization.

21300121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213001227 (or 213001220 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 21300121300 its reverse (312100312), we get a palindrome (21612221612).

It can be divided in two parts, 2130012 and 1300, that added together give a palindrome (2131312).

The spelling of 21300121300 in words is "twenty-one billion, three hundred million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 213001213 426002426 852004852 1065006065 2130012130 4260024260 5325030325 10650060650 21300121300