31272640100 has 288 divisors, whose sum is σ = 78534973440. Its totient is φ = 10725120000.

The previous prime is 31272640001. The next prime is 31272640111. The reversal of 31272640100 is 104627213.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 31272640100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163731005 + ... + 163731195.

It is an arithmetic number, because the mean of its divisors is an integer number (272690880).

Almost surely, 2^31272640100 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 31272640100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39267486720).

31272640100 is an abundant number, since it is smaller than the sum of its proper divisors (47262333340).

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

31272640100 is a wasteful number, since it uses less digits than its factorization.

31272640100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 31272640100 in words is "thirty-one billion, two hundred seventy-two million, six hundred forty thousand, one hundred".