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100110220222212 = 2233312964564499
BaseRepresentation
bin10110110000110010111010…
…000111010101111100000100
3111010110102222101002221202000
4112300302322013111330010
5101110201212334102322
6552530000020345300
730041503403443044
oct2660627207257404
9433412871087660
10100110220222212
11299975624a1512
12b28a046245230
1343b247915a745
141aa150935d724
15b8916adb83ac
hex5b0cba1d5f04

100110220222212 has 72 divisors (see below), whose sum is σ = 268187513580000. Its totient is φ = 32293619393040.

The previous prime is 100110220222211. The next prime is 100110220222277. The reversal of 100110220222212 is 212222022011001.

It is a happy number.

100110220222212 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 10 + 220 + 222 + 212 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (100110220222211) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 482178462 + ... + 482386037.

It is an arithmetic number, because the mean of its divisors is an integer number (3724826577500).

Almost surely, 2100110220222212 is an apocalyptic number.

100110220222212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100110220222212 is an abundant number, since it is smaller than the sum of its proper divisors (168077293357788).

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

100110220222212 is a wasteful number, since it uses less digits than its factorization.

100110220222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964564574 (or 964564535 counting only the distinct ones).

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

Adding to 100110220222212 its reverse (212222022011001), we get a palindrome (312332242233213).

The spelling of 100110220222212 in words is "one hundred trillion, one hundred ten billion, two hundred twenty million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 961 1116 1674 1922 2883 3348 3844 5766 8649 11532 17298 25947 34596 51894 103788 964564499 1929128998 2893693497 3858257996 5787386994 8681080491 11574773988 17362160982 26043241473 29901499469 34724321964 52086482946 59802998938 89704498407 104172965892 119605997876 179408996814 269113495221 358817993628 538226990442 807340485663 926946483539 1076453980884 1614680971326 1853892967078 2780839450617 3229361942652 3707785934156 5561678901234 8342518351851 11123357802468 16685036703702 25027555055553 33370073407404 50055110111106 100110220222212