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112232231112 = 23331421358313
BaseRepresentation
bin110100010000110001…
…1111111000011001000
3101201200122202001210110
41220201203333003020
53314322422343422
6123320410114320
711052135136611
oct1504143770310
9351618661713
10112232231112
1143663194411
121990241b9a0
13a777b04c11
145609850c08
152dbd07e60c
hex1a218ff0c8

112232231112 has 64 divisors (see below), whose sum is σ = 290320335360. Its totient is φ = 36117849600.

The previous prime is 112232231107. The next prime is 112232231147. The reversal of 112232231112 is 211132232211.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 134068 + ... + 492380.

It is an arithmetic number, because the mean of its divisors is an integer number (4536255240).

Almost surely, 2112232231112 is an apocalyptic number.

112232231112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112232231112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145160167680).

112232231112 is an abundant number, since it is smaller than the sum of its proper divisors (178088104248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112232231112 is a wasteful number, since it uses less digits than its factorization.

112232231112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358774 (or 358770 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 112232231112 its reverse (211132232211), we get a palindrome (323364463323).

The spelling of 112232231112 in words is "one hundred twelve billion, two hundred thirty-two million, two hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 421 744 842 1263 1684 2526 3368 5052 10104 13051 26102 39153 52204 78306 104408 156612 313224 358313 716626 1074939 1433252 2149878 2866504 4299756 8599512 11107703 22215406 33323109 44430812 66646218 88861624 133292436 150849773 266584872 301699546 452549319 603399092 905098638 1206798184 1810197276 3620394552 4676342963 9352685926 14029028889 18705371852 28058057778 37410743704 56116115556 112232231112