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100100112111012 = 223132922126461563
BaseRepresentation
bin10110110000101001011111…
…100111111101010110100100
3111010102110212220220200221010
4112300221133213331112210
5101110020012200023022
6552521205012422220
730040665044064066
oct2660513747752644
9433373786820833
10100100112111012
1129993245755a02
12b2880a5017970
1343b1527c49860
141aa0c2aad7736
15b88c787a250c
hex5b0a5f9fd5a4

100100112111012 has 48 divisors (see below), whose sum is σ = 260207187992640. Its totient is φ = 29737964339328.

The previous prime is 100100112110987. The next prime is 100100112111017. The reversal of 100100112111012 is 210111211001001.

100100112111012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (100100112111017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11063226258 + ... + 11063235305.

It is an arithmetic number, because the mean of its divisors is an integer number (5420983083180).

Almost surely, 2100100112111012 is an apocalyptic number.

100100112111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100100112111012 is an abundant number, since it is smaller than the sum of its proper divisors (160107075881628).

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

100100112111012 is a wasteful number, since it uses less digits than its factorization.

100100112111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22126461612 (or 22126461610 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100100112111012 its reverse (210111211001001), we get a palindrome (310211323112013).

The spelling of 100100112111012 in words is "one hundred trillion, one hundred billion, one hundred twelve million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 4524 22126461563 44252923126 66379384689 88505846252 132758769378 265517538756 287644000319 575288000638 641667385327 862932000957 1150576001276 1283334770654 1725864001914 1925002155981 2566669541308 3451728003828 3850004311962 7700008623924 8341676009251 16683352018502 25025028027753 33366704037004 50050056055506 100100112111012