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114133821149 is a prime number
BaseRepresentation
bin110101001001011100…
…1111110011011011101
3101220121011220211221002
41222102321332123131
53332221224234044
6124233215520045
711150225321105
oct1522271763335
9356534824832
10114133821149
1144449626127
121a153229025
13a9bba7441a
14574a210205
152e7eea374e
hex1a92e7e6dd

114133821149 has 2 divisors, whose sum is σ = 114133821150. Its totient is φ = 114133821148.

The previous prime is 114133821091. The next prime is 114133821181. The reversal of 114133821149 is 941128331411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106092215524 + 8041605625 = 325718^2 + 89675^2 .

It is a cyclic number.

It is not a de Polignac number, because 114133821149 - 228 = 113865385693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114133821049) 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, 57066910574 + 57066910575.

It is an arithmetic number, because the mean of its divisors is an integer number (57066910575).

Almost surely, 2114133821149 is an apocalyptic number.

It is an amenable number.

114133821149 is a deficient number, since it is larger than the sum of its proper divisors (1).

114133821149 is an equidigital number, since it uses as much as digits as its factorization.

114133821149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20736, while the sum is 38.

The spelling of 114133821149 in words is "one hundred fourteen billion, one hundred thirty-three million, eight hundred twenty-one thousand, one hundred forty-nine".