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22200121212113 = 1327316315497127
BaseRepresentation
bin1010000110000110111100…
…10101101011110011010001
32220121022101121200020212202
411003003132111223303101
510402211322012241423
6115114332255132545
74450622461534025
oct503033625536321
986538347606782
1022200121212113
11708a022739519
1225a6647814155
13c50601cc6b00
1456a6c4d42385
15287721c7c728
hex1430de56bcd1

22200121212113 has 48 divisors (see below), whose sum is σ = 24537258979200. Its totient is φ = 20071918444032.

The previous prime is 22200121212091. The next prime is 22200121212179. The reversal of 22200121212113 is 31121212100222.

It is not a de Polignac number, because 22200121212113 - 218 = 22200120949969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22200121212193) 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 47 ways as a sum of consecutive naturals, for example, 3114928556 + ... + 3114935682.

It is an arithmetic number, because the mean of its divisors is an integer number (511192895400).

Almost surely, 222200121212113 is an apocalyptic number.

It is an amenable number.

22200121212113 is a deficient number, since it is larger than the sum of its proper divisors (2337137767087).

22200121212113 is a wasteful number, since it uses less digits than its factorization.

22200121212113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8938 (or 8925 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 22200121212113 its reverse (31121212100222), we get a palindrome (53321333312335).

The spelling of 22200121212113 in words is "twenty-two trillion, two hundred billion, one hundred twenty-one million, two hundred twelve thousand, one hundred thirteen".

Divisors: 1 13 73 163 169 949 1549 2119 7127 11899 12337 20137 27547 92651 113077 154687 252487 261781 520271 1161701 1204463 1470001 2010931 3282331 6763523 11039723 15102113 18431551 19110013 42670303 84804173 87925799 143516399 196327469 239610163 805899779 1102454249 1799474849 1865713187 3114932119 10476697127 14331905237 23393173037 131361663977 136197062651 304111249481 1707701631701 22200121212113