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100112211012 = 223112273341083
BaseRepresentation
bin101110100111100100…
…1110001110001000100
3100120101222210020211010
41131033021301301010
53120012211223022
6113554012042220
710142605516212
oct1351711616104
9316358706733
10100112211012
1139503807980
121749b463370
139595b3a2a8
144bb9d0dcb2
15290e00250c
hex174f271c44

100112211012 has 48 divisors (see below), whose sum is σ = 255953763072. Its totient is φ = 30203381280.

The previous prime is 100112210987. The next prime is 100112211029. The reversal of 100112211012 is 210112211001.

It is a super-2 number, since 2×1001122110122 (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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1640578 + ... + 1700505.

It is an arithmetic number, because the mean of its divisors is an integer number (5332370064).

Almost surely, 2100112211012 is an apocalyptic number.

100112211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100112211012 is an abundant number, since it is smaller than the sum of its proper divisors (155841552060).

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

100112211012 is a wasteful number, since it uses less digits than its factorization.

100112211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3341328 (or 3341326 counting only the distinct ones).

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

Adding to 100112211012 its reverse (210112211001), we get a palindrome (310224422013).

The spelling of 100112211012 in words is "one hundred billion, one hundred twelve million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 227 454 681 908 1362 2497 2724 4994 7491 9988 14982 29964 3341083 6682166 10023249 13364332 20046498 36751913 40092996 73503826 110255739 147007652 220511478 441022956 758425841 1516851682 2275277523 3033703364 4550555046 8342684251 9101110092 16685368502 25028052753 33370737004 50056105506 100112211012