30671144100 has 288 divisors, whose sum is σ = 101553916800. Its totient is φ = 8036962560.

The previous prime is 30671144093. The next prime is 30671144137. The reversal of 30671144100 is 144117603.

It is a happy number.

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, 12902112 + ... + 12904488.

Almost surely, 2^30671144100 is an apocalyptic number.

30671144100 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 30671144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50776958400).

30671144100 is an abundant number, since it is smaller than the sum of its proper divisors (70882772700).

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

30671144100 is a wasteful number, since it uses less digits than its factorization.

30671144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 30671144100 in words is "thirty billion, six hundred seventy-one million, one hundred forty-four thousand, one hundred".