113210000 has 50 divisors (see below), whose sum is σ = 274116942. Its totient is φ = 45280000.

The previous prime is 113209951. The next prime is 113210003. The reversal of 113210000 is 12311.

It can be written as a sum of positive squares in 5 ways, for example, as 72658576 + 40551424 = 8524^2 + 6368^2 .

It is a tau number, because it is divible by the number of its divisors (50).

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

It is a self number, because there is not a number n which added to its sum of digits gives 113210000.

It is not an unprimeable number, because it can be changed into a prime (113210003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4340 + ... + 15660.

Almost surely, 2^113210000 is an apocalyptic number.

113210000 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 113210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137058471).

113210000 is an abundant number, since it is smaller than the sum of its proper divisors (160906942).

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

113210000 is an equidigital number, since it uses as much as digits as its factorization.

113210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11349 (or 11328 counting only the distinct ones).

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

The square root of 113210000 is about 10640.0187969759. The cubic root of 113210000 is about 483.7581151392.

Adding to 113210000 its reverse (12311), we get a palindrome (113222311).

The spelling of 113210000 in words is "one hundred thirteen million, two hundred ten thousand".