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22112020021122 = 2331759433942857
BaseRepresentation
bin1010000011100010110110…
…00110010011111110000010
32220021212222200202001001000
411001301123012103332002
510344240404111133442
6115010042144552430
74441353320006553
oct501613306237602
986255880661030
1022112020021122
11705572292a779
12259155a922716
13c452016ac275
145663282bc32a
152852b7475d4c
hex141c5b193f82

22112020021122 has 128 divisors (see below), whose sum is σ = 53032368211200. Its totient is φ = 6803769581568.

The previous prime is 22112020021097. The next prime is 22112020021171. The reversal of 22112020021122 is 22112002021122.

It is a happy number.

22112020021122 is a `hidden beast` number, since 2 + 211 + 20 + 200 + 211 + 22 = 666.

It is a super-2 number, since 2×221120200211222 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22112020021095 and 22112020021104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22980718 + ... + 23923574.

It is an arithmetic number, because the mean of its divisors is an integer number (414315376650).

Almost surely, 222112020021122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22112020021122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26516184105600).

22112020021122 is an abundant number, since it is smaller than the sum of its proper divisors (30920348190078).

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

22112020021122 is a wasteful number, since it uses less digits than its factorization.

22112020021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943377 (or 943371 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22112020021122 its reverse (22112002021122), we get a palindrome (44224022042244).

The spelling of 22112020021122 in words is "twenty-two trillion, one hundred twelve billion, twenty million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 59 102 118 153 177 306 354 433 459 531 866 918 1003 1062 1299 1593 2006 2598 3009 3186 3897 6018 7361 7794 9027 11691 14722 18054 22083 23382 25547 27081 44166 51094 54162 66249 76641 132498 153282 198747 229923 397494 434299 459846 689769 868598 942857 1302897 1379538 1885714 2605794 2828571 3908691 5657142 7817382 8485713 11726073 16028569 16971426 23452146 25457139 32057138 48085707 50914278 55628563 96171414 111257126 144257121 166885689 288514242 333771378 408257081 432771363 500657067 816514162 865542726 945685571 1001314134 1224771243 1501971201 1891371142 2449542486 2837056713 3003942402 3674313729 5674113426 6940370377 7348627458 8511170139 11022941187 13880740754 17022340278 20821111131 22045882374 24087167779 25533510417 41642222262 48174335558 51067020834 62463333393 72261503337 124926666786 144523006674 187390000179 216784510011 374780000358 409481852243 433569020022 650353530033 818963704486 1228445556729 1300707060066 2456891113458 3685336670187 7370673340374 11056010010561 22112020021122