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220211200100221 = 11103231318402627
BaseRepresentation
bin110010000100011111101010…
…010110111000011101111101
31001212200222121011100021212021
4302010133222112320131331
5212330420014211201341
62100203343450440141
764245506552512021
oct6204375226703575
91055628534307767
10220211200100221
1164191055620660
12208464a5433051
1395b4a9a0aa205
143c543c9640381
151a6d2ea7b29d1
hexc847ea5b877d

220211200100221 has 16 divisors (see below), whose sum is σ = 242573249438208. Its totient is φ = 198239794167600.

The previous prime is 220211200100207. The next prime is 220211200100237. The reversal of 220211200100221 is 122001002112022.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 220211200100221 - 25 = 220211200100189 is a prime.

It is a super-3 number, since 3×2202112001002213 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220211200100195 and 220211200100204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220211200100251) 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, 22006110 + ... + 30408736.

It is an arithmetic number, because the mean of its divisors is an integer number (15160828089888).

Almost surely, 2220211200100221 is an apocalyptic number.

It is an amenable number.

220211200100221 is a deficient number, since it is larger than the sum of its proper divisors (22362049337987).

220211200100221 is a wasteful number, since it uses less digits than its factorization.

220211200100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8425872.

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

Adding to 220211200100221 its reverse (122001002112022), we get a palindrome (342212202212243).

The spelling of 220211200100221 in words is "two hundred twenty trillion, two hundred eleven billion, two hundred million, one hundred thousand, two hundred twenty-one".

Divisors: 1 11 103 1133 23131 254441 2382493 8402627 26207423 92428897 865470581 9520176391 194361165137 2137972816507 20019200009111 220211200100221