31002022000 has 160 divisors (see below), whose sum is σ = 79554908160. Its totient is φ = 11659577600.

The previous prime is 31002021997. The next prime is 31002022031. The reversal of 31002022000 is 22020013.

It is a super-2 number, since 2×31002022000² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2708289 + ... + 2719711.

It is an arithmetic number, because the mean of its divisors is an integer number (497218176).

Almost surely, 2^31002022000 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 31002022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39777454080).

31002022000 is an abundant number, since it is smaller than the sum of its proper divisors (48552886160).

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

31002022000 is a wasteful number, since it uses less digits than its factorization.

31002022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11528 (or 11512 counting only the distinct ones).

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

Adding to 31002022000 its reverse (22020013), we get a palindrome (31024042013).

The spelling of 31002022000 in words is "thirty-one billion, two million, twenty-two thousand".