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112112 = 24721113
BaseRepresentation
bin11011010111110000
312200210022
4123113300
512041422
62223012
7644600
oct332760
9180708
10112112
1177260
1254a68
133c050
142cc00
1523342
hex1b5f0

112112 has 60 divisors (see below), whose sum is σ = 296856. Its totient is φ = 40320.

The previous prime is 112111. The next prime is 112121. The reversal of 112112 is 211211.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8618 + ... + 8630.

2112112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148428).

112112 is an abundant number, since it is smaller than the sum of its proper divisors (184744).

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

112112 is a wasteful number, since it uses less digits than its factorization.

112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 33 counting only the distinct ones).

The product of its digits is 4, while the sum is 8.

The square root of 112112 is about 334.8313008068. The cubic root of 112112 is about 48.2189075457.

Adding to 112112 its reverse (211211), we get a palindrome (323323).

Subtracting 112112 from its reverse (211211), we obtain a palindrome (99099).

It can be divided in two parts, 11211 and 2, that multiplied together give a palindrome (22422).

The spelling of 112112 in words is "one hundred twelve thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 49 52 56 77 88 91 98 104 112 143 154 176 182 196 208 286 308 364 392 539 572 616 637 728 784 1001 1078 1144 1232 1274 1456 2002 2156 2288 2548 4004 4312 5096 7007 8008 8624 10192 14014 16016 28028 56056 112112