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212021100222100 = 225213163093154017
BaseRepresentation
bin110000001101010100000010…
…010111010001011010010100
31000210201000112000111111121021
4300031110002113101122110
5210242223203124101400
62030533052050330524
762442006341263531
oct6015240227213224
91023630460444537
10212021100222100
1161613709773334
121b943139589a44
13913c672284190
143a4dc39a83d88
15197a24e60771a
hexc0d5025d1694

212021100222100 has 36 divisors (see below), whose sum is σ = 495477001906684. Its totient is φ = 78284713927680.

The previous prime is 212021100222077. The next prime is 212021100222179. The reversal of 212021100222100 is 1222001120212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 45918133269264 + 166102966952836 = 6776292^2 + 12888094^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81546575709 + ... + 81546578308.

Almost surely, 2212021100222100 is an apocalyptic number.

212021100222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021100222100 is an abundant number, since it is smaller than the sum of its proper divisors (283455901684584).

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

212021100222100 is a wasteful number, since it uses less digits than its factorization.

212021100222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163093154044 (or 163093154037 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212021100222100 its reverse (1222001120212), we get a palindrome (213243101342312).

The spelling of 212021100222100 in words is "two hundred twelve trillion, twenty-one billion, one hundred million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 163093154017 326186308034 652372616068 815465770085 1630931540170 2120211002221 3261863080340 4077328850425 4240422004442 8154657700850 8480844008884 10601055011105 16309315401700 21202110022210 42404220044420 53005275055525 106010550111050 212021100222100