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100220112444 = 22317233198707
BaseRepresentation
bin101110101010110010…
…1011000111000111100
3100120200111211012202110
41131111211120320330
53120222322044234
6114012424454020
710145355620514
oct1352545307074
9316614735673
10100220112444
1139559705911
121750b61a310
1395b22b93aa
144bca39a844
1529187181e9
hex1755958e3c

100220112444 has 72 divisors (see below), whose sum is σ = 248515173760. Its totient is φ = 31428520704.

The previous prime is 100220112437. The next prime is 100220112479. The reversal of 100220112444 is 444211022001.

It is a self number, because there is not a number n which added to its sum of digits gives 100220112444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11505939 + ... + 11514645.

Almost surely, 2100220112444 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 100220112444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124257586880).

100220112444 is an abundant number, since it is smaller than the sum of its proper divisors (148295061316).

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

100220112444 is a wasteful number, since it uses less digits than its factorization.

100220112444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12067 (or 12048 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 100220112444 its reverse (444211022001), we get a palindrome (544431134445).

The spelling of 100220112444 in words is "one hundred billion, two hundred twenty million, one hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 289 578 867 1156 1734 3319 3468 6638 8707 9957 13276 17414 19914 26121 34828 39828 52242 56423 104484 112846 148019 169269 225692 296038 338538 444057 592076 677076 888114 959191 1776228 1918382 2516323 2877573 3836764 5032646 5755146 7548969 10065292 11510292 15097938 28898533 30195876 57797066 86695599 115594132 173391198 346782396 491275061 982550122 1473825183 1965100244 2947650366 5895300732 8351676037 16703352074 25055028111 33406704148 50110056222 100220112444