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2022100012020 = 2235115695384513
BaseRepresentation
bin11101011011001110100…
…011011000101111110100
321011022101121220210010210
4131123032203120233310
5231112230100341040
64144535004545420
7266043344336004
oct35331643305764
97138347823123
102022100012020
1170a627816a30
12287a91252270
131188b603246a
146dc27a26004
15378ed2b4480
hex1d6ce8d8bf4

2022100012020 has 96 divisors (see below), whose sum is σ = 6187452727680. Its totient is φ = 489344450560.

The previous prime is 2022100012019. The next prime is 2022100012043. The reversal of 2022100012020 is 202100012202.

It is a super-2 number, since 2×20221000120202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2022100011987 and 2022100012005.

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, 2316717 + ... + 3067796.

It is an arithmetic number, because the mean of its divisors is an integer number (64452632580).

Almost surely, 22022100012020 is an apocalyptic number.

2022100012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022100012020 is an abundant number, since it is smaller than the sum of its proper divisors (4165352715660).

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

2022100012020 is a wasteful number, since it uses less digits than its factorization.

2022100012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5385105 (or 5385103 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2022100012020 its reverse (202100012202), we get a palindrome (2224200024222).

The spelling of 2022100012020 in words is "two trillion, twenty-two billion, one hundred million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 569 660 1138 1707 2276 2845 3414 5690 6259 6828 8535 11380 12518 17070 18777 25036 31295 34140 37554 62590 75108 93885 125180 187770 375540 5384513 10769026 16153539 21538052 26922565 32307078 53845130 59229643 64614156 80767695 107690260 118459286 161535390 177688929 236918572 296148215 323070780 355377858 592296430 710755716 888444645 1184592860 1776889290 3063787897 3553778580 6127575794 9191363691 12255151588 15318939485 18382727382 30637878970 33701666867 36765454764 45956818455 61275757940 67403333734 91913636910 101105000601 134806667468 168508334335 183827273820 202210001202 337016668670 404420002404 505525003005 674033337340 1011050006010 2022100012020