114800301 has 32 divisors (see below), whose sum is σ = 212044800. Its totient is φ = 59635440.

The previous prime is 114800297. The next prime is 114800321. The reversal of 114800301 is 103008411.

It is not a de Polignac number, because 114800301 - 2² = 114800297 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114800321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25531 + ... + 29688.

It is an arithmetic number, because the mean of its divisors is an integer number (6626400).

Almost surely, 2^114800301 is an apocalyptic number.

114800301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114800301 is a deficient number, since it is larger than the sum of its proper divisors (97244499).

114800301 is a wasteful number, since it uses less digits than its factorization.

114800301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55246 (or 55240 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 114800301 is about 10714.4902351908. The cubic root of 114800301 is about 486.0127644872.

Adding to 114800301 its reverse (103008411), we get a palindrome (217808712).

The spelling of 114800301 in words is "one hundred fourteen million, eight hundred thousand, three hundred one".