113022000 has 640 divisors, whose sum is σ = 519966720. Its totient is φ = 22809600.

The previous prime is 113021983. The next prime is 113022047. The reversal of 113022000 is 220311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4913989 + ... + 4914011.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 2^113022000 is an apocalyptic number.

113022000 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 113022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259983360).

113022000 is an abundant number, since it is smaller than the sum of its proper divisors (406944720).

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

113022000 is a wasteful number, since it uses less digits than its factorization.

113022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 113022000 is about 10631.1805553287. The cubic root of 113022000 is about 483.4901855835.

Adding to 113022000 its reverse (220311), we get a palindrome (113242311).

The spelling of 113022000 in words is "one hundred thirteen million, twenty-two thousand".