Search a number
-
+
22135320289 is a prime number
BaseRepresentation
bin10100100111010111…
…100010111011100001
32010010122111210000101
4110213113202323201
5330313120222124
614100244422401
71412351055325
oct244727427341
963118453011
1022135320289
1194298a1835
1243590a7a01
132119bb1274
1410ddb27985
1589845d644
hex5275e2ee1

22135320289 has 2 divisors, whose sum is σ = 22135320290. Its totient is φ = 22135320288.

The previous prime is 22135320199. The next prime is 22135320299. The reversal of 22135320289 is 98202353122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20822490000 + 1312830289 = 144300^2 + 36233^2 .

It is a cyclic number.

It is not a de Polignac number, because 22135320289 - 29 = 22135319777 is a prime.

It is not a weakly prime, because it can be changed into another prime (22135320299) 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, 11067660144 + 11067660145.

It is an arithmetic number, because the mean of its divisors is an integer number (11067660145).

Almost surely, 222135320289 is an apocalyptic number.

It is an amenable number.

22135320289 is a deficient number, since it is larger than the sum of its proper divisors (1).

22135320289 is an equidigital number, since it uses as much as digits as its factorization.

22135320289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 22135320289 in words is "twenty-two billion, one hundred thirty-five million, three hundred twenty thousand, two hundred eighty-nine".