113004200 has 48 divisors (see below), whose sum is σ = 269162460. Its totient is φ = 44096000.

The previous prime is 113004173. The next prime is 113004209. The reversal of 113004200 is 2400311.

It is a happy number.

113004200 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 6 ways, for example, as 16924996 + 96079204 = 4114^2 + 9802^2 .

It is not an unprimeable number, because it can be changed into a prime (113004209) 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, 1310 + ... + 15090.

Almost surely, 2^113004200 is an apocalyptic number.

113004200 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 113004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134581230).

113004200 is an abundant number, since it is smaller than the sum of its proper divisors (156158260).

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

113004200 is a wasteful number, since it uses less digits than its factorization.

113004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13838 (or 13829 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 113004200 is about 10630.3433622814. The cubic root of 113004200 is about 483.4648023922.

Adding to 113004200 its reverse (2400311), we get a palindrome (115404511).

The spelling of 113004200 in words is "one hundred thirteen million, four thousand, two hundred".