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112355022131 = 115928932969
BaseRepresentation
bin110100010100011100…
…0011001010100110011
3101202000012210111101222
41220220320121110303
53320100341202011
6123340514015255
711055155634122
oct1505070312463
9352005714358
10112355022131
11437165320a0
121993757752b
13a797398321
14561bc95ab9
152dc8c36ddb
hex1a28e19533

112355022131 has 24 divisors (see below), whose sum is σ = 126086511600. Its totient is φ = 99278516480.

The previous prime is 112355022127. The next prime is 112355022139. The reversal of 112355022131 is 131220553211.

It is not a de Polignac number, because 112355022131 - 22 = 112355022127 is a prime.

It is a super-2 number, since 2×1123550221312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112355022131.

It is not an unprimeable number, because it can be changed into a prime (112355022139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3391415 + ... + 3424383.

It is an arithmetic number, because the mean of its divisors is an integer number (5253604650).

Almost surely, 2112355022131 is an apocalyptic number.

112355022131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112355022131 is a deficient number, since it is larger than the sum of its proper divisors (13731489469).

112355022131 is an equidigital number, since it uses as much as digits as its factorization.

112355022131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33187 (or 33128 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 112355022131 its reverse (131220553211), we get a palindrome (243575575342).

The spelling of 112355022131 in words is "one hundred twelve billion, three hundred fifty-five million, twenty-two thousand, one hundred thirty-one".

Divisors: 1 11 59 89 649 979 3481 5251 32969 38291 57761 309809 362659 1945171 2934241 3407899 21396881 32276651 114765089 173120219 1262415979 1904322409 10214092921 112355022131