• Sorting the digits of 2^{112} in ascending order we obtain a prime of 31 digits.

• 112 can be written using four 4's:

112 has 10 divisors (see below), whose sum is σ = 248. Its totient is φ = 48.

The previous prime is 109. The next prime is 113. The reversal of 112 is 211.

112 is nontrivially palindromic in base 3, base 13 and base 15.

It is a Harshad number since it is a multiple of its sum of digits (4).

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.

112 is an idoneal number.

It is a magnanimous number.

112 is a nontrivial repdigit in base 13 and base 15.

It is a plaindrome in base 9, base 10, base 13 and base 15.

It is a nialpdrome in base 2, base 5, base 7, base 11, base 12, base 13, base 14, base 15 and base 16.

It is a zygodrome in base 2, base 13 and base 15.

It is a congruent number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13 + ... + 19.

112 is the 7-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124).

112 is an abundant number, since it is smaller than the sum of its proper divisors (136).

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

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

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

The sum of its prime factors is 15 (or 9 counting only the distinct ones).

The product of its digits is 2, while the sum is 4.

The square root of 112 is about 10.5830052443. The cubic root of 112 is about 4.8202845284.

Adding to 112 its reverse (211), we get a palindrome (323).

Subtracting 112 from its reverse (211), we obtain a palindrome (99).

Multiplying 112 by its reverse (211), we get a palindrome (23632).

It can be divided in two parts, 11 and 2, that multiplied together give a palindrome (22).

The spelling of 112 in words is "one hundred twelve", and thus it is an aban number and an iban number.

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