230334440100 has 288 divisors, whose sum is σ = 698932765440. Its totient is φ = 58490880000.

The previous prime is 230334440059. The next prime is 230334440173. The reversal of 230334440100 is 1044433032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 359335780 + ... + 359336420.

It is an arithmetic number, because the mean of its divisors is an integer number (2426849880).

Almost surely, 2^230334440100 is an apocalyptic number.

230334440100 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 230334440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349466382720).

230334440100 is an abundant number, since it is smaller than the sum of its proper divisors (468598325340).

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

230334440100 is a wasteful number, since it uses less digits than its factorization.

230334440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 230334440100 its reverse (1044433032), we get a palindrome (231378873132).

The spelling of 230334440100 in words is "two hundred thirty billion, three hundred thirty-four million, four hundred forty thousand, one hundred".