Search a number
-
+
114201137 is a prime number
BaseRepresentation
bin1101100111010…
…01001000110001
321221220000111202
412303221020301
5213213414022
615155420545
72554456631
oct663511061
9257800452
10114201137
1159511006
12322b4755
131a87664b
141124a6c1
15a05c592
hex6ce9231

114201137 has 2 divisors, whose sum is σ = 114201138. Its totient is φ = 114201136.

The previous prime is 114201119. The next prime is 114201173. The reversal of 114201137 is 731102411.

It is a happy number.

Together with next prime (114201173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103205281 + 10995856 = 10159^2 + 3316^2 .

It is a cyclic number.

It is not a de Polignac number, because 114201137 - 214 = 114184753 is a prime.

It is not a weakly prime, because it can be changed into another prime (114201337) 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 as a sum of consecutive naturals, namely, 57100568 + 57100569.

It is an arithmetic number, because the mean of its divisors is an integer number (57100569).

Almost surely, 2114201137 is an apocalyptic number.

It is an amenable number.

114201137 is a deficient number, since it is larger than the sum of its proper divisors (1).

114201137 is an equidigital number, since it uses as much as digits as its factorization.

114201137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 114201137 is about 10686.4932040403. The cubic root of 114201137 is about 485.1657590502.

Adding to 114201137 its reverse (731102411), we get a palindrome (845303548).

The spelling of 114201137 in words is "one hundred fourteen million, two hundred one thousand, one hundred thirty-seven".