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13112 = 2311149

13112 has 16 divisors (see below), whose sum is σ = 27000. Its totient is φ = 5920.

The previous prime is 13109. The next prime is 13121. The reversal of 13112 is 21131.

Adding to 13112 its reverse (21131), we get a palindrome (34243).

It can be divided in two parts, 13 and 112, that added together give a cube (125 = 53).

13112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14 + ... + 162.

213112 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 13112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13500).

13112 is an abundant number, since it is smaller than the sum of its proper divisors (13888).

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

13112 is a wasteful number, since it uses less digits than its factorization.

13112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 162 counting only the distinct ones).

The product of its digits is 6, while the sum is 8.

The square root of 13112 is about 114.5076416664. The cubic root of 13112 is about 23.5806793896.

The spelling of 13112 in words is "thirteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 149 298 596 1192 1639 3278 6556 13112