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22100111112 = 23317443122273
BaseRepresentation
bin10100100101010001…
…001110111100001000
32010001012020222002210
4110211101032330020
5330230112023422
614052550025120
71411442562552
oct244521167410
963035228083
1022100111112
119410a33642
1243493481a0
132112804231
1410d91a04d2
1589530610c
hex52544ef08

22100111112 has 64 divisors (see below), whose sum is σ = 58632828480. Its totient is φ = 6917660672.

The previous prime is 22100111087. The next prime is 22100111119. The reversal of 22100111112 is 21111100122.

It is a super-2 number, since 2×221001111122 (a number of 21 digits) contains 22 as substring.

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 (22100111119) 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, 119608 + ... + 241880.

It is an arithmetic number, because the mean of its divisors is an integer number (916137945).

Almost surely, 222100111112 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 22100111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29316414240).

22100111112 is an abundant number, since it is smaller than the sum of its proper divisors (36532717368).

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

22100111112 is a wasteful number, since it uses less digits than its factorization.

22100111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122742 (or 122738 counting only the distinct ones).

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

Adding to 22100111112 its reverse (21111100122), we get a palindrome (43211211234).

The spelling of 22100111112 in words is "twenty-two billion, one hundred million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 443 886 1329 1772 2658 3544 5316 7531 10632 15062 22593 30124 45186 60248 90372 122273 180744 244546 366819 489092 733638 978184 1467276 2078641 2934552 4157282 6235923 8314564 12471846 16629128 24943692 49887384 54166939 108333878 162500817 216667756 325001634 433335512 650003268 920837963 1300006536 1841675926 2762513889 3683351852 5525027778 7366703704 11050055556 22100111112