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100100010112212 = 223112947556370807
BaseRepresentation
bin10110110000101001011001…
…100010110111010011010100
3111010102110121210222121212210
4112300221121202313103110
5101110014310042042322
6552521150530313420
730040662365105355
oct2660513142672324
9433373553877783
10100100010112212
11299931a3119780
12b288076a28870
1343b150ca86336
141aa0c1b345d2c
15b88c6e85570c
hex5b0a598b74d4

100100010112212 has 96 divisors (see below), whose sum is σ = 269194451742720. Its totient is φ = 28664223925120.

The previous prime is 100100010112211. The next prime is 100100010112229. The reversal of 100100010112212 is 212211010001001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100010112211) 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 31 ways as a sum of consecutive naturals, for example, 278005488 + ... + 278365319.

It is an arithmetic number, because the mean of its divisors is an integer number (2804108872320).

Almost surely, 2100100010112212 is an apocalyptic number.

100100010112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100100010112212 is an abundant number, since it is smaller than the sum of its proper divisors (169094441630508).

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

100100010112212 is a wasteful number, since it uses less digits than its factorization.

100100010112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556370901 (or 556370899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100100010112212 its reverse (212211010001001), we get a palindrome (312311020113213).

The spelling of 100100010112212 in words is "one hundred trillion, one hundred billion, ten million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 47 58 66 87 94 116 132 141 174 188 282 319 348 517 564 638 957 1034 1276 1363 1551 1914 2068 2726 3102 3828 4089 5452 6204 8178 14993 16356 29986 44979 59972 89958 179916 556370807 1112741614 1669112421 2225483228 3338224842 6120078877 6676449684 12240157754 16134753403 18360236631 24480315508 26149427929 32269506806 36720473262 48404260209 52298855858 64539013612 73440946524 78448283787 96808520418 104597711716 156896567574 177482287433 193617040836 287643707219 313793135148 354964574866 532446862299 575287414438 709929149732 758333409941 862931121657 1064893724598 1150574828876 1516666819882 1725862243314 2129787449196 2275000229823 3033333639764 3451724486628 4550000459646 8341667509351 9100000919292 16683335018702 25025002528053 33366670037404 50050005056106 100100010112212