232414131300 has 288 divisors, whose sum is σ = 763432387200. Its totient is φ = 54117642240.

The previous prime is 232414131293. The next prime is 232414131329. The reversal of 232414131300 is 3131414232.

It is a happy number.

232414131300 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 59944962 + ... + 59948838.

It is an arithmetic number, because the mean of its divisors is an integer number (2650806900).

Almost surely, 2^232414131300 is an apocalyptic number.

232414131300 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 232414131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381716193600).

232414131300 is an abundant number, since it is smaller than the sum of its proper divisors (531018255900).

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

232414131300 is a wasteful number, since it uses less digits than its factorization.

232414131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4735 (or 4728 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 232414131300 its reverse (3131414232), we get a palindrome (235545545532).

The spelling of 232414131300 in words is "two hundred thirty-two billion, four hundred fourteen million, one hundred thirty-one thousand, three hundred".