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112134222431 = 721136532633
BaseRepresentation
bin110100001101110111…
…0000111001001011111
3101201102211022201011022
41220123232013021133
53314122330104211
6123302545314355
711046535110200
oct1503356071137
9351384281138
10112134222431
1143612933000
12198956359bb
13a76070a90a
1455da81b5a7
152db466ebdb
hex1a1bb8725f

112134222431 has 48 divisors (see below), whose sum is σ = 143750528928. Its totient is φ = 87210372480.

The previous prime is 112134222407. The next prime is 112134222467. The reversal of 112134222431 is 134222431211.

It is a happy number.

It is not a de Polignac number, because 112134222431 - 214 = 112134206047 is a prime.

It is a super-2 number, since 2×1121342224312 (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 112134222431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112134222131) 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, 42586691 + ... + 42589323.

It is an arithmetic number, because the mean of its divisors is an integer number (2994802686).

Almost surely, 2112134222431 is an apocalyptic number.

112134222431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112134222431 is a deficient number, since it is larger than the sum of its proper divisors (31616306497).

112134222431 is an equidigital number, since it uses as much as digits as its factorization.

112134222431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3333 (or 3304 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

Adding to 112134222431 its reverse (134222431211), we get a palindrome (246356653642).

The spelling of 112134222431 in words is "one hundred twelve billion, one hundred thirty-four million, two hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 7 11 49 77 121 539 653 847 1331 2633 4571 5929 7183 9317 18431 28963 31997 50281 65219 79013 129017 202741 318593 351967 553091 869143 1419187 1719349 2230151 3504523 3871637 6084001 12035443 15611057 18912839 24531661 42588007 84248101 132389873 171721627 208041229 926729111 1456288603 2288453519 10194020221 16019174633 112134222431