Search a number
-
+
114820000289 is a prime number
BaseRepresentation
bin110101011101111001…
…1100010101000100001
3101222101000002100202022
41222323303202220201
53340122410002124
6124425251031225
711203226620301
oct1527363425041
9358330070668
10114820000289
1144770995725
121a304b9b515
13aa9ac84a97
1457b33cb601
152ec0345c5e
hex1abbce2a21

114820000289 has 2 divisors, whose sum is σ = 114820000290. Its totient is φ = 114820000288.

The previous prime is 114820000283. The next prime is 114820000301. The reversal of 114820000289 is 982000028411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65905158400 + 48914841889 = 256720^2 + 221167^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114820000289 is a prime.

It is not a weakly prime, because it can be changed into another prime (114820000283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57410000144 + 57410000145.

It is an arithmetic number, because the mean of its divisors is an integer number (57410000145).

Almost surely, 2114820000289 is an apocalyptic number.

It is an amenable number.

114820000289 is a deficient number, since it is larger than the sum of its proper divisors (1).

114820000289 is an equidigital number, since it uses as much as digits as its factorization.

114820000289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 35.

The spelling of 114820000289 in words is "one hundred fourteen billion, eight hundred twenty million, two hundred eighty-nine", and thus it is an aban number.