114205248210 has 32 divisors (see below), whose sum is σ = 281500506432. Its totient is φ = 29631631680.

The previous prime is 114205248161. The next prime is 114205248211. The reversal of 114205248210 is 12842502411.

114205248210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (114205248211) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 51442696 + ... + 51444915.

It is an arithmetic number, because the mean of its divisors is an integer number (8796890826).

Almost surely, 2^114205248210 is an apocalyptic number.

114205248210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114205248210 is an abundant number, since it is smaller than the sum of its proper divisors (167295258222).

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

114205248210 is a wasteful number, since it uses less digits than its factorization.

114205248210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102887658.

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 114205248210 in words is "one hundred fourteen billion, two hundred five million, two hundred forty-eight thousand, two hundred ten".