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221110011120100 = 22524315130162671
BaseRepresentation
bin110010010001100100101111…
…101010110100100111100100
31001222212220120211211220222211
4302101210233222310213210
5212440131300321320400
62102132311542133204
764400446125232144
oct6221445752644744
91058786524756884
10221110011120100
11644a8257a51053
1220970727421204
13964b77a42c98b
143c85ad2b64924
151a868a372ddba
hexc9192fab49e4

221110011120100 has 36 divisors (see below), whose sum is σ = 480921969523968. Its totient is φ = 88238797924000.

The previous prime is 221110011120007. The next prime is 221110011120143. The reversal of 221110011120100 is 1021110011122.

It is a happy number.

221110011120100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2565038236 + ... + 2565124435.

It is an arithmetic number, because the mean of its divisors is an integer number (13358943597888).

Almost surely, 2221110011120100 is an apocalyptic number.

221110011120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221110011120100 is an abundant number, since it is smaller than the sum of its proper divisors (259811958403868).

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

221110011120100 is a wasteful number, since it uses less digits than its factorization.

221110011120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5130163116 (or 5130163109 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 221110011120100 its reverse (1021110011122), we get a palindrome (222131121131222).

The spelling of 221110011120100 in words is "two hundred twenty-one trillion, one hundred ten billion, eleven million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 431 862 1724 2155 4310 8620 10775 21550 43100 5130162671 10260325342 20520650684 25650813355 51301626710 102603253420 128254066775 256508133550 513016267100 2211100111201 4422200222402 8844400444804 11055500556005 22111001112010 44222002224020 55277502780025 110555005560050 221110011120100