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200021222021220 = 223251111229011229
BaseRepresentation
bin101101011110101100010001…
…111000101101100001100100
3222020012211201212121102210100
4231132230101320231201210
5202204121430314134340
61545224251511024100
760063025226444505
oct5536542170554144
9866184655542710
10200021222021220
1158807584319a66
121a52555266b030
13877bbc6b9b3a2
14375711632cbac
15181d027245830
hexb5eb11e2d864

200021222021220 has 36 divisors (see below), whose sum is σ = 606731040131580. Its totient is φ = 53338992538944.

The previous prime is 200021222021171. The next prime is 200021222021233. The reversal of 200021222021220 is 22120222120002.

200021222021220 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 212 + 220 + 212 + 20 = 666.

200021222021220 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 2 ways, for example, as 125435475240804 + 74585746780416 = 11199798^2 + 8636304^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 200021222021193 and 200021222021202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 555614505435 + ... + 555614505794.

It is an arithmetic number, because the mean of its divisors is an integer number (16853640003655).

Almost surely, 2200021222021220 is an apocalyptic number.

200021222021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200021222021220 is an abundant number, since it is smaller than the sum of its proper divisors (406709818110360).

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

200021222021220 is a wasteful number, since it uses less digits than its factorization.

200021222021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111229011244 (or 1111229011239 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200021222021220 its reverse (22120222120002), we get a palindrome (222141444141222).

The spelling of 200021222021220 in words is "two hundred trillion, twenty-one billion, two hundred twenty-two million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1111229011229 2222458022458 3333687033687 4444916044916 5556145056145 6667374067374 10001061101061 11112290112290 13334748134748 16668435168435 20002122202122 22224580224580 33336870336870 40004244404244 50005305505305 66673740673740 100010611010610 200021222021220