31470344100 has 288 divisors, whose sum is σ = 114690576000. Its totient is φ = 7338677760.

The previous prime is 31470344071. The next prime is 31470344137. The reversal of 31470344100 is 144307413.

31470344100 is a `hidden beast` number, since 314 + 7 + 0 + 344 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 643306 + ... + 690494.

Almost surely, 2^31470344100 is an apocalyptic number.

31470344100 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 31470344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57345288000).

31470344100 is an abundant number, since it is smaller than the sum of its proper divisors (83220231900).

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

31470344100 is a wasteful number, since it uses less digits than its factorization.

31470344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47244 (or 47231 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 31470344100 in words is "thirty-one billion, four hundred seventy million, three hundred forty-four thousand, one hundred".