30245361300 has 432 divisors, whose sum is σ = 125152739712. Its totient is φ = 5914828800.

The previous prime is 30245361281. The next prime is 30245361319. The reversal of 30245361300 is 316354203.

It is a happy number.

30245361300 is a `hidden beast` number, since 3 + 0 + 2 + 45 + 3 + 613 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30245361281) and next prime (30245361319).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1165264 + ... + 1190936.

It is an arithmetic number, because the mean of its divisors is an integer number (289705416).

Almost surely, 2^30245361300 is an apocalyptic number.

30245361300 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 30245361300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62576369856).

30245361300 is an abundant number, since it is smaller than the sum of its proper divisors (94907378412).

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

30245361300 is a wasteful number, since it uses less digits than its factorization.

30245361300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25728 (or 25718 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 30245361300 in words is "thirty billion, two hundred forty-five million, three hundred sixty-one thousand, three hundred".