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21300132105 = 3257531275839
BaseRepresentation
bin10011110101100101…
…100011100100001001
32000222102221211012200
4103311211203210021
5322110313211410
613441331430413
71352560064340
oct236545434411
960872854180
1021300132105
11904040756a
124165455409
132015b5aa85
141060c3cb57
15849e853c0
hex4f5963909

21300132105 has 48 divisors (see below), whose sum is σ = 42990704640. Its totient is φ = 9553474944.

The previous prime is 21300132037. The next prime is 21300132107. The reversal of 21300132105 is 50123100312.

It is not a de Polignac number, because 21300132105 - 27 = 21300131977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21300132107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 621225 + ... + 654614.

It is an arithmetic number, because the mean of its divisors is an integer number (895639680).

Almost surely, 221300132105 is an apocalyptic number.

It is an amenable number.

21300132105 is an abundant number, since it is smaller than the sum of its proper divisors (21690572535).

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

21300132105 is a wasteful number, since it uses less digits than its factorization.

21300132105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275910 (or 1275907 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 21300132105 its reverse (50123100312), we get a palindrome (71423232417).

The spelling of 21300132105 in words is "twenty-one billion, three hundred million, one hundred thirty-two thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 53 63 105 159 265 315 371 477 795 1113 1855 2385 3339 5565 16695 1275839 3827517 6379195 8930873 11482551 19137585 26792619 44654365 57412755 67619467 80377857 133963095 202858401 338097335 401889285 473336269 608575203 1014292005 1420008807 2366681345 3042876015 4260026421 7100044035 21300132105