31002000 has 80 divisors (see below), whose sum is σ = 99969792. Its totient is φ = 8265600.

The previous prime is 31001989. The next prime is 31002001. The reversal of 31002000 is 20013.

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

It is a super-2 number, since 2×31002000² = 1922248008000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a self number, because there is not a number n which added to its sum of digits gives 31002000.

It is not an unprimeable number, because it can be changed into a prime (31002001) 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 15 ways as a sum of consecutive naturals, for example, 3417 + ... + 8583.

Almost surely, 2^31002000 is an apocalyptic number.

31002000 is a gapful number since it is divisible by the number (30) 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 31002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49984896).

31002000 is an abundant number, since it is smaller than the sum of its proper divisors (68967792).

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

31002000 is a wasteful number, since it uses less digits than its factorization.

31002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5193 (or 5177 counting only the distinct ones).

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

The square root of 31002000 is about 5567.9439652353. The cubic root of 31002000 is about 314.1448207512.

Adding to 31002000 its reverse (20013), we get a palindrome (31022013).

The spelling of 31002000 in words is "thirty-one million, two thousand".