30313746100 has 144 divisors (see below), whose sum is σ = 72804215232. Its totient is φ = 10864000000.

The previous prime is 30313746097. The next prime is 30313746107. The reversal of 30313746100 is 164731303.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30313746107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 31218615 + ... + 31219585.

It is an arithmetic number, because the mean of its divisors is an integer number (505584828).

Almost surely, 2^30313746100 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 30313746100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36402107616).

30313746100 is an abundant number, since it is smaller than the sum of its proper divisors (42490469132).

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

30313746100 is a wasteful number, since it uses less digits than its factorization.

30313746100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The spelling of 30313746100 in words is "thirty billion, three hundred thirteen million, seven hundred forty-six thousand, one hundred".