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222020212102100 = 22525341890606057
BaseRepresentation
bin110010011110110100011011…
…111000000001001111010100
31002010002220222022120120211022
4302132310123320001033110
5213100034343244231400
62104110402152100312
764523300554022036
oct6236643370011724
91063086868516738
10222020212102100
1164819274749685
1220a99007994698
1396b65544154b9
143cb7b9ac69c56
151aa03c65b8b85
hexc9ed1be013d4

222020212102100 has 36 divisors (see below), whose sum is σ = 490874121787644. Its totient is φ = 87132460596480.

The previous prime is 222020212102069. The next prime is 222020212102121. The reversal of 222020212102100 is 1201212020222.

It is a happy number.

222020212102100 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 6 ways, for example, as 16492549454404 + 205527662647696 = 4061102^2 + 14336236^2 .

It is a super-2 number, since 2×2220202121021002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 20945297729 + ... + 20945308328.

It is an arithmetic number, because the mean of its divisors is an integer number (13635392271879).

Almost surely, 2222020212102100 is an apocalyptic number.

222020212102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222020212102100 is an abundant number, since it is smaller than the sum of its proper divisors (268853909685544).

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

222020212102100 is a wasteful number, since it uses less digits than its factorization.

222020212102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41890606124 (or 41890606117 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 222020212102100 its reverse (1201212020222), we get a palindrome (223221424122322).

The spelling of 222020212102100 in words is "two hundred twenty-two trillion, twenty billion, two hundred twelve million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 41890606057 83781212114 167562424228 209453030285 418906060570 837812121140 1047265151425 2094530302850 2220202121021 4189060605700 4440404242042 8880808484084 11101010605105 22202021210210 44404042420420 55505053025525 111010106051050 222020212102100