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204122422111220 = 225174793125257681
BaseRepresentation
bin101110011010010111110100…
…011101011110101111110100
3222202201220122120010100221222
4232122113310131132233310
5203223320210030024340
62002044313550125512
760665233623151034
oct5632276435365764
9882656576110858
10204122422111220
115a048918904048
121aa883621b0898
1389b887accc982
143859813c438c4
15188ea5c9928b5
hexb9a5f475ebf4

204122422111220 has 48 divisors (see below), whose sum is σ = 453966907596048. Its totient is φ = 76830054727680.

The previous prime is 204122422111213. The next prime is 204122422111241. The reversal of 204122422111220 is 22111224221402.

It can be written as a sum of positive squares in 8 ways, for example, as 40005979200784 + 164116442910436 = 6325028^2 + 12810794^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 204122422111220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60999221 + ... + 64258460.

It is an arithmetic number, because the mean of its divisors is an integer number (9457643908251).

Almost surely, 2204122422111220 is an apocalyptic number.

204122422111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204122422111220 is an abundant number, since it is smaller than the sum of its proper divisors (249844485484828).

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

204122422111220 is a wasteful number, since it uses less digits than its factorization.

204122422111220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125262500 (or 125262498 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 204122422111220 its reverse (22111224221402), we get a palindrome (226233646332622).

The spelling of 204122422111220 in words is "two hundred four trillion, one hundred twenty-two billion, four hundred twenty-two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 4793 9586 19172 23965 47930 81481 95860 162962 325924 407405 814810 1629620 125257681 250515362 501030724 626288405 1252576810 2129380577 2505153620 4258761154 8517522308 10646902885 21293805770 42587611540 600360065033 1200720130066 2401440260132 3001800325165 6003600650330 10206121105561 12007201300660 20412242211122 40824484422244 51030605527805 102061211055610 204122422111220