Search a number
-
+
114011214203401 is a prime number
BaseRepresentation
bin11001111011000101001101…
…111011000100101000001001
3112221200100212112202001002221
4121323011031323010220021
5104420424431314002101
61042252010113054041
733005016112630354
oct3173051573045011
9487610775661087
10114011214203401
1133366980173859
1210954178b57321
134b802994b26b8
14202225a78d29b
15d2aa5ee6eaa1
hex67b14dec4a09

114011214203401 has 2 divisors, whose sum is σ = 114011214203402. Its totient is φ = 114011214203400.

The previous prime is 114011214203339. The next prime is 114011214203413. The reversal of 114011214203401 is 104302412110411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108038562105600 + 5972652097801 = 10394160^2 + 2443901^2 .

It is a cyclic number.

It is not a de Polignac number, because 114011214203401 - 237 = 113873775249929 is a prime.

It is not a weakly prime, because it can be changed into another prime (114011214203701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57005607101700 + 57005607101701.

It is an arithmetic number, because the mean of its divisors is an integer number (57005607101701).

Almost surely, 2114011214203401 is an apocalyptic number.

It is an amenable number.

114011214203401 is a deficient number, since it is larger than the sum of its proper divisors (1).

114011214203401 is an equidigital number, since it uses as much as digits as its factorization.

114011214203401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 114011214203401 its reverse (104302412110411), we get a palindrome (218313626313812).

The spelling of 114011214203401 in words is "one hundred fourteen trillion, eleven billion, two hundred fourteen million, two hundred three thousand, four hundred one".