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21100222120120 = 23511136755057463
BaseRepresentation
bin1001100110000110001110…
…01111101000000010111000
32202201011100202111010220121
410303003013033220002320
510231201223330320440
6112513150324303024
74305304113522643
oct463030717500270
982634322433817
1021100222120120
1167a561033a180
122449445841a74
13ba09860bc720
1452d383024a5a
15268cea0b034a
hex1330c73e80b8

21100222120120 has 128 divisors (see below), whose sum is σ = 56607882186240. Its totient is φ = 6976881584640.

The previous prime is 21100222120079. The next prime is 21100222120139. The reversal of 21100222120120 is 2102122200112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21100222120094 and 21100222120103.

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, 27145492 + ... + 27911971.

It is an arithmetic number, because the mean of its divisors is an integer number (442249079580).

Almost surely, 221100222120120 is an apocalyptic number.

21100222120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100222120120 is an abundant number, since it is smaller than the sum of its proper divisors (35507660066120).

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

21100222120120 is a wasteful number, since it uses less digits than its factorization.

21100222120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55057565 (or 55057561 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21100222120120 its reverse (2102122200112), we get a palindrome (23202344320232).

The spelling of 21100222120120 in words is "twenty-one trillion, one hundred billion, two hundred twenty-two million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 67 88 104 110 130 134 143 220 260 268 286 335 440 520 536 572 670 715 737 871 1144 1340 1430 1474 1742 2680 2860 2948 3484 3685 4355 5720 5896 6968 7370 8710 9581 14740 17420 19162 29480 34840 38324 47905 76648 95810 191620 383240 55057463 110114926 220229852 275287315 440459704 550574630 605632093 715747019 1101149260 1211264186 1431494038 2202298520 2422528372 2862988076 3028160465 3578735095 3688850021 4845056744 5725976152 6056320930 7157470190 7377700042 7873217209 12112641860 14314940380 14755400084 15746434418 18444250105 24225283720 28629880760 29510800168 31492868836 36888500210 39366086045 40577350231 47955050273 62985737672 73777000420 78732172090 81154700462 95910100546 147554000840 157464344180 162309400924 191820201092 202886751155 239775251365 314928688360 324618801848 383640402184 405773502310 479550502730 527505553003 811547004620 959101005460 1055011106006 1623094009240 1918202010920 2110022212012 2637527765015 4220044424024 5275055530030 10550111060060 21100222120120