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221122112013 = 32115325913477
BaseRepresentation
bin1100110111101111100…
…1111010101000001101
3210010202101021011001100
43031323321322220031
512110324230041023
6245325422133313
721655416640335
oct3157371725015
9703671234040
10221122112013
1185860738620
1236a31421239
1317b0c31a2ca
14a9b94200c5
155b42992c43
hex337be7aa0d

221122112013 has 72 divisors (see below), whose sum is σ = 361179131040. Its totient is φ = 129246698880.

The previous prime is 221122112009. The next prime is 221122112021. The reversal of 221122112013 is 310211221122.

It is not a de Polignac number, because 221122112013 - 22 = 221122112009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221122112213) 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 71 ways as a sum of consecutive naturals, for example, 16400631 + ... + 16414107.

It is an arithmetic number, because the mean of its divisors is an integer number (5016376820).

Almost surely, 2221122112013 is an apocalyptic number.

It is an amenable number.

221122112013 is a deficient number, since it is larger than the sum of its proper divisors (140057019027).

221122112013 is a wasteful number, since it uses less digits than its factorization.

221122112013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13659 (or 13603 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 221122112013 its reverse (310211221122), we get a palindrome (531333333135).

The spelling of 221122112013 in words is "two hundred twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, thirteen".

Divisors: 1 3 9 11 33 53 59 99 159 177 477 531 583 649 1749 1947 2809 3127 5247 5841 8427 9381 13477 25281 28143 30899 34397 40431 92697 103191 121293 148247 165731 278091 309573 444741 497193 714281 795143 1334223 1491579 1823041 2142843 2385429 5469123 6428529 7156287 7857091 8746573 16407369 23571273 26239719 37856893 42142579 70713819 78719157 113570679 126427737 340712037 379283211 416425823 463568369 1249277469 1390705107 2233556687 3747832407 4172115321 6700670061 20102010183 24569123557 73707370671 221122112013