31004200 has 96 divisors (see below), whose sum is σ = 78120000. Its totient is φ = 11404800.

The previous prime is 31004191. The next prime is 31004201. The reversal of 31004200 is 240013.

It is a super-2 number, since 2×31004200² = 1922520835280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (31004201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155701 + ... + 155899.

It is an arithmetic number, because the mean of its divisors is an integer number (813750).

Almost surely, 2^31004200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060000).

31004200 is an abundant number, since it is smaller than the sum of its proper divisors (47115800).

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

31004200 is a wasteful number, since it uses less digits than its factorization.

31004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 31004200 is about 5568.1415211900. The cubic root of 31004200 is about 314.1522514789.

Adding to 31004200 its reverse (240013), we get a palindrome (31244213).

The spelling of 31004200 in words is "thirty-one million, four thousand, two hundred".