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100112011212 = 2231719323910639
BaseRepresentation
bin101110100111100100…
…1000000111111001100
3100120101222102002202010
41131033021000333030
53120012133324322
6113554003501220
710142604024543
oct1351711007714
9316358362663
10100112011212
1139503690854
121749b387810
139595a9a375
144bb9c9b15a
15290deb320c
hex174f240fcc

100112011212 has 96 divisors (see below), whose sum is σ = 249680793600. Its totient is φ = 31111299072.

The previous prime is 100112011187. The next prime is 100112011301. The reversal of 100112011212 is 212110211001.

It is a super-2 number, since 2×1001120112122 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9404589 + ... + 9415227.

It is an arithmetic number, because the mean of its divisors is an integer number (2600841600).

Almost surely, 2100112011212 is an apocalyptic number.

100112011212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100112011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124840396800).

100112011212 is an abundant number, since it is smaller than the sum of its proper divisors (149568782388).

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

100112011212 is a wasteful number, since it uses less digits than its factorization.

100112011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11095 (or 11093 counting only the distinct ones).

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

Adding to 100112011212 its reverse (212110211001), we get a palindrome (312222222213).

The spelling of 100112011212 in words is "one hundred billion, one hundred twelve million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 193 204 239 386 478 579 717 772 956 1158 1434 2316 2868 3281 4063 6562 8126 9843 10639 12189 13124 16252 19686 21278 24378 31917 39372 42556 46127 48756 63834 92254 127668 138381 180863 184508 276762 361726 542589 553524 723452 784159 1085178 1568318 2053327 2170356 2352477 2542721 3136636 4106654 4704954 5085442 6159981 7628163 8213308 9409908 10170884 12319962 15256326 24639924 30512652 34906559 43226257 69813118 86452514 104719677 129678771 139626236 172905028 209439354 259357542 418878708 490745153 518715084 981490306 1472235459 1962980612 2944470918 5888941836 8342667601 16685335202 25028002803 33370670404 50056005606 100112011212