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222121221221020 = 2251119300291769591
BaseRepresentation
bin110010100000010010100000…
…011111001110101010011100
31002010110120200211001110222211
4302200102200133032222130
5213103213230113033040
62104225025204050204
764533504633251152
oct6240224037165234
91063416624043884
10222121221221020
1164858098766760
1220ab46b7693964
1396c2c31005914
143cbca1dd2d3d2
151aa2d391d68ea
hexca04a07cea9c

222121221221020 has 96 divisors (see below), whose sum is σ = 535659745420800. Its totient is φ = 76517637868800.

The previous prime is 222121221220993. The next prime is 222121221221021. The reversal of 222121221221020 is 20122122121222.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 222121221220982 and 222121221221000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222121221221021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124636425 + ... + 126406015.

It is an arithmetic number, because the mean of its divisors is an integer number (5579789014800).

Almost surely, 2222121221221020 is an apocalyptic number.

222121221221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222121221221020 is an abundant number, since it is smaller than the sum of its proper divisors (313538524199780).

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

222121221221020 is a wasteful number, since it uses less digits than its factorization.

222121221221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799659 (or 1799657 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 222121221221020 its reverse (20122122121222), we get a palindrome (242243343342242).

The spelling of 222121221221020 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 30029 60058 120116 150145 300290 330319 570551 600580 660638 1141102 1321276 1651595 1769591 2282204 2852755 3303190 3539182 5705510 6276061 6606380 7078364 8847955 11411020 12552122 17695910 19465501 25104244 31380305 33622229 35391820 38931002 62760610 67244458 77862004 97327505 125521220 134488916 168111145 194655010 336222290 369844519 389310020 672444580 739689038 1479378076 1849222595 3698445190 7396890380 53139048139 106278096278 212556192556 265695240695 531390481390 584529529529 1009641914641 1062780962780 1169059059058 2019283829282 2338118118116 2922647647645 4038567658564 5048209573205 5845295295290 10096419146410 11106061061051 11690590590580 20192838292820 22212122122102 44424244244204 55530305305255 111060610610510 222121221221020