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102212110220112 = 243526289122999
BaseRepresentation
bin10111001111011000011100…
…100001010111101101010000
3111101220101022200221222200000
4113033120130201113231100
5101344120400204020422
61001215332321530000
730346403242600434
oct2717303441275520
9441811280858600
10102212110220112
112a627a04611832
12b569484aa3900
1345057399425a9
141b35141c929c4
15bc3b88eb4cac
hex5cf61c857b50

102212110220112 has 60 divisors (see below), whose sum is σ = 296646463932000. Its totient is φ = 34070703405408.

The previous prime is 102212110220057. The next prime is 102212110220147. The reversal of 102212110220112 is 211022011212201.

102212110220112 is a `hidden beast` number, since 1 + 0 + 221 + 2 + 110 + 220 + 112 = 666.

It is a super-2 number, since 2×1022121102201122 (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 congruent number.

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, 13144557612 + ... + 13144565387.

It is an arithmetic number, because the mean of its divisors is an integer number (4944107732200).

Almost surely, 2102212110220112 is an apocalyptic number.

102212110220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102212110220112 is an abundant number, since it is smaller than the sum of its proper divisors (194434353711888).

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

102212110220112 is an equidigital number, since it uses as much as digits as its factorization.

102212110220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26289123022 (or 26289123004 counting only the distinct ones).

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

Adding to 102212110220112 its reverse (211022011212201), we get a palindrome (313234121432313).

The spelling of 102212110220112 in words is "one hundred two trillion, two hundred twelve billion, one hundred ten million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 26289122999 52578245998 78867368997 105156491996 157734737994 210312983992 236602106991 315469475988 420625967984 473204213982 630938951976 709806320973 946408427964 1261877903952 1419612641946 1892816855928 2129418962919 2839225283892 3785633711856 4258837925838 5678450567784 6388256888757 8517675851676 11356901135568 12776513777514 17035351703352 25553027555028 34070703406704 51106055110056 102212110220112