114230314100 has 216 divisors, whose sum is σ = 294067037880. Its totient is φ = 38392704000.

The previous prime is 114230314091. The next prime is 114230314111. The reversal of 114230314100 is 1413032411.

It can be written as a sum of positive squares in 12 ways, for example, as 69023900176 + 45206413924 = 262724^2 + 212618^2 .

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 137792486 + ... + 137793314.

Almost surely, 2^114230314100 is an apocalyptic number.

114230314100 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 114230314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147033518940).

114230314100 is an abundant number, since it is smaller than the sum of its proper divisors (179836723780).

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

114230314100 is a wasteful number, since it uses less digits than its factorization.

114230314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 114230314100 its reverse (1413032411), we get a palindrome (115643346511).

The spelling of 114230314100 in words is "one hundred fourteen billion, two hundred thirty million, three hundred fourteen thousand, one hundred".