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22112103312 = 2432132908617
BaseRepresentation
bin10100100101111110…
…111110101110010000
32010002000211020022100
4110211332332232100
5330241144301222
614054055040400
71411646530335
oct244576765620
963060736270
1022112103312
119417784552
124351370100
132115142800
1410daa0298c
158963c44ac
hex525fbeb90

22112103312 has 90 divisors (see below), whose sum is σ = 67009668882. Its totient is φ = 6803716608.

The previous prime is 22112103259. The next prime is 22112103319. The reversal of 22112103312 is 21330121122.

It can be written as a sum of positive squares in 3 ways, for example, as 1070860176 + 21041243136 = 32724^2 + 145056^2 .

It is a super-2 number, since 2×221121033122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22112103319) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 429973 + ... + 478644.

Almost surely, 222112103312 is an apocalyptic number.

It is an amenable number.

22112103312 is an abundant number, since it is smaller than the sum of its proper divisors (44897565570).

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

22112103312 is a wasteful number, since it uses less digits than its factorization.

22112103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908657 (or 908635 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22112103312 its reverse (21330121122), we get a palindrome (43442224434).

The spelling of 22112103312 in words is "twenty-two billion, one hundred twelve million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 24336 908617 1817234 2725851 3634468 5451702 7268936 8177553 10903404 11812021 14537872 16355106 21806808 23624042 32710212 35436063 43613616 47248084 65420424 70872126 94496168 106308189 130840848 141744252 153556273 188992336 212616378 283488504 307112546 425232756 460668819 566977008 614225092 850465512 921337638 1228450184 1382006457 1700931024 1842675276 2456900368 2764012914 3685350552 5528025828 7370701104 11056051656 22112103312