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220200001222113 = 331137912131612727
BaseRepresentation
bin110010000100010101001110…
…110110100011010111100001
31001212122220200200200100011000
4302010111032312203113201
5212330224100303101423
62100154252315542213
764244632206563433
oct6204251666432741
91055586620610130
10220200001222113
11641873290a67a0
122084429aa5a969
1395b3a03bcc113
143c53a461a0653
151a6cd9253b843
hexc8454eda35e1

220200001222113 has 64 divisors (see below), whose sum is σ = 357112166860800. Its totient is φ = 132992610972480.

The previous prime is 220200001222087. The next prime is 220200001222181. The reversal of 220200001222113 is 311222100002022.

220200001222113 is a `hidden beast` number, since 220 + 200 + 0 + 0 + 12 + 221 + 13 = 666.

It is not a de Polignac number, because 220200001222113 - 25 = 220200001222081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220200001226113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135732556 + ... + 137345282.

It is an arithmetic number, because the mean of its divisors is an integer number (5579877607200).

Almost surely, 2220200001222113 is an apocalyptic number.

It is an amenable number.

220200001222113 is a deficient number, since it is larger than the sum of its proper divisors (136912165638687).

220200001222113 is a wasteful number, since it uses less digits than its factorization.

220200001222113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614339 (or 1614333 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 220200001222113 its reverse (311222100002022), we get a palindrome (531422101224135).

The spelling of 220200001222113 in words is "two hundred twenty trillion, two hundred billion, one million, two hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 3 9 11 27 33 99 297 379 1137 1213 3411 3639 4169 10233 10917 12507 13343 32751 37521 40029 112563 120087 360261 459727 1379181 1612727 4137543 4838181 5056997 12412629 14514543 15170991 17739997 43543629 45512973 53219991 136538919 159659973 478979919 611223533 1833670599 1956237851 5501011797 5868713553 6723458863 16503035391 17606140659 20170376589 21518616361 52818421977 60511129767 64555849083 181533389301 193667547249 581002641747 741414145529 2224242436587 6672727309761 8155555600819 20018181929283 24466666802457 73400000407371 220200001222113