113042000 has 80 divisors (see below), whose sum is σ = 282906000. Its totient is φ = 43635200.

The previous prime is 113041997. The next prime is 113042009. The reversal of 113042000 is 240311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 19571776 + 93470224 = 4424^2 + 9668^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×113042000³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113042009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57026 + ... + 58974.

It is an arithmetic number, because the mean of its divisors is an integer number (3536325).

Almost surely, 2^113042000 is an apocalyptic number.

113042000 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 113042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141453000).

113042000 is an abundant number, since it is smaller than the sum of its proper divisors (169864000).

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

113042000 is a wasteful number, since it uses less digits than its factorization.

113042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1985 counting only the distinct ones).

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

The square root of 113042000 is about 10632.1211430269. The cubic root of 113042000 is about 483.5187028438.

Adding to 113042000 its reverse (240311), we get a palindrome (113282311).

The spelling of 113042000 in words is "one hundred thirteen million, forty-two thousand".