31117242000 has 640 divisors, whose sum is σ = 118240432128. Its totient is φ = 6967296000.

The previous prime is 31117241959. The next prime is 31117242029. The reversal of 31117242000 is 24271113.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41105622 + ... + 41106378.

Almost surely, 2^31117242000 is an apocalyptic number.

31117242000 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 31117242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59120216064).

31117242000 is an abundant number, since it is smaller than the sum of its proper divisors (87123190128).

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

31117242000 is a wasteful number, since it uses less digits than its factorization.

31117242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The spelling of 31117242000 in words is "thirty-one billion, one hundred seventeen million, two hundred forty-two thousand".