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221111020111122 = 232731372706145389
BaseRepresentation
bin110010010001100101101011…
…110011110100010100010010
31001222220000012011102222110200
4302101211223303310110102
5212440140332122023442
62102133000024240030
764400513126431011
oct6221455363642422
91058800164388420
10221111020111122
11644a8725555a29
1220970969310016
13964b8ab49739b
143c85b8ab72a78
151a869120d934c
hexc9196bcf4512

221111020111122 has 96 divisors (see below), whose sum is σ = 489210179880240. Its totient is φ = 72159164098560.

The previous prime is 221111020111103. The next prime is 221111020111139.

It is a happy number.

221111020111122 is a `hidden beast` number, since 221 + 1 + 110 + 201 + 11 + 122 = 666.

221111020111122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 105979386247641 + 115131633863481 = 10294629^2 + 10729941^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221111020111095 and 221111020111104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4871444404 + ... + 4871489792.

Almost surely, 2221111020111122 is an apocalyptic number.

221111020111122 is an abundant number, since it is smaller than the sum of its proper divisors (268099159769118).

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

221111020111122 is a wasteful number, since it uses less digits than its factorization.

221111020111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72668 (or 72665 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The spelling of 221111020111122 in words is "two hundred twenty-one trillion, one hundred eleven billion, twenty million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 73 137 146 219 274 411 438 657 822 1233 1314 2466 10001 20002 27061 30003 45389 54122 60006 81183 90009 90778 136167 162366 180018 243549 272334 408501 487098 817002 1975453 3313397 3707357 3950906 5926359 6218293 6626794 7414714 9940191 11122071 11852718 12436586 17779077 18654879 19880382 22244142 29820573 33366213 35558154 37309758 55964637 59641146 66732426 111929274 270637061 453935389 541274122 811911183 907870778 1228271729 1361806167 1623822366 2435733549 2456543458 2723612334 3684815187 4085418501 4871467098 7369630374 8170837002 11054445561 22108891122 89663836217 168273226873 179327672434 268991508651 336546453746 504819680619 537983017302 806974525953 1009639361238 1514459041857 1613949051906 3028918083714 12283945561729 24567891123458 36851836685187 73703673370374 110555510055561 221111020111122