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100112111196 = 22319598278999
BaseRepresentation
bin101110100111100100…
…1011001011001011100
3100120101222121011220020
41131033021121121130
53120012200024241
6113554005552140
710142604622206
oct1351711313134
9316358534806
10100112111196
1139503749989
121749b415650
139595b03a26
144bb9cc5776
15290ded2b66
hex174f25965c

100112111196 has 96 divisors (see below), whose sum is σ = 250387200000. Its totient is φ = 31037485248.

The previous prime is 100112111173. The next prime is 100112111249. The reversal of 100112111196 is 691111211001.

100112111196 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11120305 + ... + 11129303.

It is an arithmetic number, because the mean of its divisors is an integer number (2608200000).

Almost surely, 2100112111196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100112111196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125193600000).

100112111196 is an abundant number, since it is smaller than the sum of its proper divisors (150275088804).

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

100112111196 is a wasteful number, since it uses less digits than its factorization.

100112111196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9911 (or 9909 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 24.

Adding to 100112111196 its reverse (691111211001), we get a palindrome (791223322197).

The spelling of 100112111196 in words is "one hundred billion, one hundred twelve million, one hundred eleven thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 19 38 57 59 76 114 118 177 228 236 354 708 827 1121 1654 2242 2481 3308 3363 4484 4962 6726 8999 9924 13452 15713 17998 26997 31426 35996 47139 48793 53994 62852 94278 97586 107988 146379 170981 188556 195172 292758 341962 512943 530941 585516 683924 927067 1025886 1061882 1592823 1854134 2051772 2123764 2781201 3185646 3708268 5562402 6371292 7442173 10087879 11124804 14884346 20175758 22326519 29768692 30263637 40351516 44653038 60527274 89306076 121054548 141401287 282802574 424203861 439088207 565605148 848407722 878176414 1317264621 1696815444 1756352828 2634529242 5269058484 8342675933 16685351866 25028027799 33370703732 50056055598 100112111196