230014331300 has 216 divisors, whose sum is σ = 565149989544. Its totient is φ = 80768286720.

The previous prime is 230014331291. The next prime is 230014331329. The reversal of 230014331300 is 3133410032.

230014331300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 139620300964 + 90394030336 = 373658^2 + 300656^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 132725234 + ... + 132726966.

Almost surely, 2^230014331300 is an apocalyptic number.

230014331300 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 230014331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282574994772).

230014331300 is an abundant number, since it is smaller than the sum of its proper divisors (335135658244).

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

230014331300 is a wasteful number, since it uses less digits than its factorization.

230014331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 230014331300 its reverse (3133410032), we get a palindrome (233147741332).

The spelling of 230014331300 in words is "two hundred thirty billion, fourteen million, three hundred thirty-one thousand, three hundred".