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221111121010120 = 235112321848925001
BaseRepresentation
bin110010010001100101110001…
…110100101101110111001000
31001222220000110012022011212121
4302101211301310231313020
5212440141033434310440
62102133014031021024
764400515463156125
oct6221456164556710
91058800405264777
10221111121010120
11644a8777500930
122097099706a774
13964b8c6364133
143c85b9a31974c
151a8691adba34a
hexc91971d2ddc8

221111121010120 has 64 divisors (see below), whose sum is σ = 566324136051840. Its totient is φ = 76908216000000.

The previous prime is 221111121010103. The next prime is 221111121010133. The reversal of 221111121010120 is 21010121111122.

221111121010120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221111121010094 and 221111121010103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10924452381 + ... + 10924472620.

It is an arithmetic number, because the mean of its divisors is an integer number (8848814625810).

Almost surely, 2221111121010120 is an apocalyptic number.

221111121010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221111121010120 is an abundant number, since it is smaller than the sum of its proper divisors (345213015041720).

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

221111121010120 is a wasteful number, since it uses less digits than its factorization.

221111121010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21848925046 (or 21848925042 counting only the distinct ones).

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

Adding to 221111121010120 its reverse (21010121111122), we get a palindrome (242121242121242).

The spelling of 221111121010120 in words is "two hundred twenty-one trillion, one hundred eleven billion, one hundred twenty-one million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 21848925001 43697850002 87395700004 109244625005 174791400008 218489250010 240338175011 436978500020 480676350022 502525275023 873957000040 961352700044 1005050550046 1201690875055 1922705400088 2010101100092 2403381750110 2512626375115 4020202200184 4806763500220 5025252750230 5527778025253 9613527000440 10050505500460 11055556050506 20101011000920 22111112101012 27638890126265 44222224202024 55277780252530 110555560505060 221111121010120