230202463115100 has 288 divisors, whose sum is σ = 781862543594496. Its totient is φ = 51189929164800.

The previous prime is 230202463115089. The next prime is 230202463115117. The reversal of 230202463115100 is 1511364202032.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 720974089 + ... + 721293311.

It is an arithmetic number, because the mean of its divisors is an integer number (2714800498592).

Almost surely, 2^{230202463115100} is an apocalyptic number.

230202463115100 is a gapful number since it is divisible by the number (20) 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 230202463115100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390931271797248).

230202463115100 is an abundant number, since it is smaller than the sum of its proper divisors (551660080479396).

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

230202463115100 is a wasteful number, since it uses less digits than its factorization.

230202463115100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328565 (or 328558 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 230202463115100 in words is "two hundred thirty trillion, two hundred two billion, four hundred sixty-three million, one hundred fifteen thousand, one hundred".