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22012102211112 = 23331323909327871
BaseRepresentation
bin1010000000101000101111…
…00010000111011000101000
32212221100002020202101021000
411000110113202013120220
510341121241131223422
6114452115315315000
74431215261435166
oct500242742073050
985840066671230
1022012102211112
117017309931192
1225761145aba60
13c38969c18970
1456156a134236
152828ba573cac
hex140517887628

22012102211112 has 128 divisors (see below), whose sum is σ = 65851123968000. Its totient is φ = 6772650589440.

The previous prime is 22012102211101. The next prime is 22012102211117. The reversal of 22012102211112 is 21111220121022.

22012102211112 is a `hidden beast` number, since 220 + 1 + 210 + 221 + 1 + 1 + 12 = 666.

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 (22012102211117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66972537 + ... + 67300407.

It is an arithmetic number, because the mean of its divisors is an integer number (514461906000).

Almost surely, 222012102211112 is an apocalyptic number.

It is an amenable number.

22012102211112 is an abundant number, since it is smaller than the sum of its proper divisors (43839021756888).

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

22012102211112 is a wasteful number, since it uses less digits than its factorization.

22012102211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351808 (or 351798 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22012102211112 its reverse (21111220121022), we get a palindrome (43123322332134).

The spelling of 22012102211112 in words is "twenty-two trillion, twelve billion, one hundred two million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 23909 47818 71727 95636 143454 191272 215181 286908 310817 327871 430362 573816 621634 645543 655742 860724 932451 983613 1243268 1291086 1311484 1721448 1864902 1967226 2486536 2582172 2622968 2797353 2950839 3729804 3934452 4262323 5164344 5594706 5901678 7459608 7868904 8392059 8524646 8852517 11189412 11803356 12786969 16784118 17049292 17705034 22378824 23606712 25573938 33568236 34098584 35410068 38360907 51147876 67136472 70820136 76721814 102295752 115082721 153443628 230165442 306887256 460330884 920661768 7839067739 15678135478 23517203217 31356270956 47034406434 62712541912 70551609651 94068812868 101907880607 141103219302 188137625736 203815761214 211654828953 282206438604 305723641821 407631522428 423309657906 564412877208 611447283642 815263044856 846619315812 917170925463 1222894567284 1693238631624 1834341850926 2445789134568 2751512776389 3668683701852 5503025552778 7337367403704 11006051105556 22012102211112