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220101202202212 = 224128134537138289
BaseRepresentation
bin110010000010111001001101…
…111110001100111001100100
31001212022110200012220002212201
4302002321031332030321210
5212322114230230432322
62100041032454024244
764234533655014562
oct6202711576147144
91055273605802781
10220101202202212
1164149439686831
1220829107348084
1395a75ba167cb6
143c4cd52846a32
151a6a50d982d27
hexc82e4df8ce64

220101202202212 has 48 divisors (see below), whose sum is σ = 395990165738160. Its totient is φ = 106980481843200.

The previous prime is 220101202202197. The next prime is 220101202202213. The reversal of 220101202202212 is 212202202101022.

220101202202212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4498496773156 + 215602705429056 = 2120966^2 + 14683416^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 220101202202212.

It is not an unprimeable number, because it can be changed into a prime (220101202202213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1591533964 + ... + 1591672252.

It is an arithmetic number, because the mean of its divisors is an integer number (8249795119545).

Almost surely, 2220101202202212 is an apocalyptic number.

It is an amenable number.

220101202202212 is a deficient number, since it is larger than the sum of its proper divisors (175888963535948).

220101202202212 is a wasteful number, since it uses less digits than its factorization.

220101202202212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173152 (or 173150 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 220101202202212 its reverse (212202202101022), we get a palindrome (432303404303234).

The spelling of 220101202202212 in words is "two hundred twenty trillion, one hundred one billion, two hundred two million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 4 41 82 164 281 562 1124 11521 23042 34537 46084 69074 138148 138289 276578 553156 1416017 2832034 5664068 5669849 9704897 11339698 19409794 22679396 38819588 38859209 77718418 155436836 397900777 795801554 1591603108 1593227569 3186455138 4776087193 6372910276 9552174386 19104348772 195819574913 391639149826 783278299652 1342080501233 2684161002466 5368322004932 55025300550553 110050601101106 220101202202212