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102220102111122 = 23210156226678829
BaseRepresentation
bin10111001111011111111000…
…111000000000111110010010
3111101221010221200010010010100
4113033133320320000332102
5101344233232120023442
61001223133331513230
730350105264545302
oct2717377070007622
9441833850103110
10102220102111122
112a630335850836
12b56ab35458816
1345064115a6798
141b3569d449602
15bc3ea590c84c
hex5cf7f8e00f92

102220102111122 has 24 divisors (see below), whose sum is σ = 223669728385740. Its totient is φ = 33736007296800.

The previous prime is 102220102111103. The next prime is 102220102111163. The reversal of 102220102111122 is 221111201022201.

102220102111122 is a `hidden beast` number, since 102 + 220 + 10 + 211 + 1 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81623653845561 + 20596448265561 = 9034581^2 + 4538331^2 .

It is a super-2 number, since 2×1022201021111222 (a number of 29 digits) contains 22 as substring.

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 = 102220102111095 and 102220102111104.

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, 28113337597 + ... + 28113341232.

Almost surely, 2102220102111122 is an apocalyptic number.

102220102111122 is an abundant number, since it is smaller than the sum of its proper divisors (121449626274618).

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

102220102111122 is a wasteful number, since it uses less digits than its factorization.

102220102111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56226678938 (or 56226678935 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102220102111122 its reverse (221111201022201), we get a palindrome (323331303133323).

The spelling of 102220102111122 in words is "one hundred two trillion, two hundred twenty billion, one hundred two million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 56226678829 112453357658 168680036487 337360072974 506040109461 1012080218922 5678894561729 11357789123458 17036683685187 34073367370374 51110051055561 102220102111122