113248400 has 30 divisors (see below), whose sum is σ = 272080242. Its totient is φ = 45299200.

The previous prime is 113248381. The next prime is 113248423. The reversal of 113248400 is 4842311.

It can be written as a sum of positive squares in 3 ways, for example, as 123904 + 113124496 = 352^2 + 10636^2 .

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 5 ways as a sum of consecutive naturals, for example, 141161 + ... + 141960.

Almost surely, 2^113248400 is an apocalyptic number.

113248400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113248400 is an abundant number, since it is smaller than the sum of its proper divisors (158831842).

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

113248400 is a wasteful number, since it uses less digits than its factorization.

113248400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283139 (or 283128 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 113248400 is about 10641.8231520731. The cubic root of 113248400 is about 483.8128046887.

The spelling of 113248400 in words is "one hundred thirteen million, two hundred forty-eight thousand, four hundred".