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112200113110131 = 32233763123216239
BaseRepresentation
bin11001100000101110011111…
…111000101011110001110011
3112201021020002210111220111200
4121200232133320223301303
5104201241312424011011
61034344004223142243
732430122253426024
oct3140563770536163
9481236083456450
10112200113110131
1132828889888522
1210701172a44983
134a7b56b408867
141d9c72b916c4b
15ce88b0a58856
hex660b9fe2bc73

112200113110131 has 48 divisors (see below), whose sum is σ = 173959100590080. Its totient is φ = 69503844674880.

The previous prime is 112200113110073. The next prime is 112200113110153. The reversal of 112200113110131 is 131011311002211.

112200113110131 is a `hidden beast` number, since 1 + 1 + 220 + 0 + 1 + 1 + 311 + 0 + 131 = 666.

It is not a de Polignac number, because 112200113110131 - 219 = 112200112585843 is a prime.

It is a super-2 number, since 2×1122001131101312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112200113110181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6775291 + ... + 16440948.

It is an arithmetic number, because the mean of its divisors is an integer number (3624147928960).

Almost surely, 2112200113110131 is an apocalyptic number.

112200113110131 is a deficient number, since it is larger than the sum of its proper divisors (61758987479949).

112200113110131 is a wasteful number, since it uses less digits than its factorization.

112200113110131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23216936 (or 23216933 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 112200113110131 its reverse (131011311002211), we get a palindrome (243211424112342).

The spelling of 112200113110131 in words is "one hundred twelve trillion, two hundred billion, one hundred thirteen million, one hundred ten thousand, one hundred thirty-one".

Divisors: 1 3 9 23 37 69 111 207 333 631 851 1893 2553 5679 7659 14513 23347 43539 70041 130617 210123 536981 1610943 4832829 23216239 69648717 208946151 533973497 859000843 1601920491 2577002529 4805761473 7731007587 14649446809 19757019389 43948340427 59271058167 131845021281 177813174501 336937276607 542029531933 1010811829821 1626088595799 3032435489463 4878265787397 12466679234459 37400037703377 112200113110131