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101020112222022 = 23273892061046073
BaseRepresentation
bin10110111110000010010011…
…111001110111011101000110
3111020200102120022102200200200
4112332002103321313131012
5101220103142212101042
6554503555431551330
730164314361023140
oct2676022371673506
9436612508380620
10101020112222022
112a208430840164
12b3b645b22b546
13444a20411bc76
141ad35843d3c90
15ba2b71a6cc4c
hex5be093e77746

101020112222022 has 48 divisors (see below), whose sum is σ = 250788086284320. Its totient is φ = 28788691533696.

The previous prime is 101020112222017. The next prime is 101020112222069. The reversal of 101020112222022 is 220222211020101.

It is a happy number.

101020112222022 is a `hidden beast` number, since 101 + 0 + 201 + 122 + 220 + 22 = 666.

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 = 101020112221986 and 101020112222004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1030474023 + ... + 1030572050.

It is an arithmetic number, because the mean of its divisors is an integer number (5224751797590).

Almost surely, 2101020112222022 is an apocalyptic number.

101020112222022 is an abundant number, since it is smaller than the sum of its proper divisors (149767974062298).

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

101020112222022 is a wasteful number, since it uses less digits than its factorization.

101020112222022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061046477 (or 2061046474 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101020112222022 its reverse (220222211020101), we get a palindrome (321242323242123).

The spelling of 101020112222022 in words is "one hundred one trillion, twenty billion, one hundred twelve million, two hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 389 778 1167 2334 2723 3501 5446 7002 8169 16338 24507 49014 2061046073 4122092146 6183138219 12366276438 14427322511 18549414657 28854645022 37098829314 43281967533 86563935066 129845902599 259691805198 801746922397 1603493844794 2405240767191 4810481534382 5612228456779 7215722301573 11224456913558 14431444603146 16836685370337 33673370740674 50510056111011 101020112222022