114242331300 has 288 divisors, whose sum is σ = 347377766400. Its totient is φ = 28962954240.

The previous prime is 114242331239. The next prime is 114242331317. The reversal of 114242331300 is 3133242411.

It is a happy 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 95 ways as a sum of consecutive naturals, for example, 74038329 + ... + 74039871.

It is an arithmetic number, because the mean of its divisors is an integer number (1206172800).

Almost surely, 2^114242331300 is an apocalyptic number.

114242331300 is a gapful number since it is divisible by the number (10) 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 114242331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173688883200).

114242331300 is an abundant number, since it is smaller than the sum of its proper divisors (233135435100).

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

114242331300 is a wasteful number, since it uses less digits than its factorization.

114242331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1748 counting only the distinct ones).

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

Adding to 114242331300 its reverse (3133242411), we get a palindrome (117375573711).

The spelling of 114242331300 in words is "one hundred fourteen billion, two hundred forty-two million, three hundred thirty-one thousand, three hundred".