114242100508230 has 128 divisors (see below), whose sum is σ = 281145071370240. Its totient is φ = 29701895287680.

The previous prime is 114242100508229. The next prime is 114242100508267. The reversal of 114242100508230 is 32805001242411.

It is a junction number, because it is equal to n+sod(n) for n = 114242100508191 and 114242100508200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82358751 + ... + 83734389.

It is an arithmetic number, because the mean of its divisors is an integer number (2196445870080).

Almost surely, 2^{114242100508230} is an apocalyptic number.

114242100508230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114242100508230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140572535685120).

114242100508230 is an abundant number, since it is smaller than the sum of its proper divisors (166902970862010).

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

114242100508230 is a wasteful number, since it uses less digits than its factorization.

114242100508230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376154.

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 114242100508230 in words is "one hundred fourteen trillion, two hundred forty-two billion, one hundred million, five hundred eight thousand, two hundred thirty".