114315201 has 48 divisors (see below), whose sum is σ = 221719680. Its totient is φ = 54812160.

The previous prime is 114315193. The next prime is 114315241. The reversal of 114315201 is 102513411.

114315201 is a `hidden beast` number, since 1 + 143 + 1 + 520 + 1 = 666.

It is not a de Polignac number, because 114315201 - 2³ = 114315193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114315241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2665 + ... + 15353.

It is an arithmetic number, because the mean of its divisors is an integer number (4619160).

Almost surely, 2^114315201 is an apocalyptic number.

114315201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114315201 is a deficient number, since it is larger than the sum of its proper divisors (107404479).

114315201 is a wasteful number, since it uses less digits than its factorization.

114315201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12726 (or 12723 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 114315201 is about 10691.8287023315. The cubic root of 114315201 is about 485.3272330201.

Adding to 114315201 its reverse (102513411), we get a palindrome (216828612).

The spelling of 114315201 in words is "one hundred fourteen million, three hundred fifteen thousand, two hundred one".