113431200 has 144 divisors (see below), whose sum is σ = 372851136. Its totient is φ = 29952000.

The previous prime is 113431189. The next prime is 113431231. The reversal of 113431200 is 2134311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113431200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362244 + ... + 362556.

It is an arithmetic number, because the mean of its divisors is an integer number (2589244).

Almost surely, 2^113431200 is an apocalyptic number.

113431200 is a gapful number since it is divisible by the number (10) 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 113431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186425568).

113431200 is an abundant number, since it is smaller than the sum of its proper divisors (259419936).

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

113431200 is a wasteful number, since it uses less digits than its factorization.

113431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 113431200 is about 10650.4084428720. The cubic root of 113431200 is about 484.0729803663.

Adding to 113431200 its reverse (2134311), we get a palindrome (115565511).

The spelling of 113431200 in words is "one hundred thirteen million, four hundred thirty-one thousand, two hundred".