Search a number
-
+
242120455009 is a prime number
BaseRepresentation
bin1110000101111110000…
…0001111001101100001
3212010221210100111102121
43201133200033031201
512431330314030014
6303121213344241
723330653624246
oct3413740171541
9763853314377
10242120455009
11937567594a4
123ab11798081
1319aa77a1b34
14ba0c1415cd
1564711b4124
hex385f80f361

242120455009 has 2 divisors, whose sum is σ = 242120455010. Its totient is φ = 242120455008.

The previous prime is 242120454977. The next prime is 242120455033. The reversal of 242120455009 is 900554021242.

It is a happy number.

242120455009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132805580625 + 109314874384 = 364425^2 + 330628^2 .

It is a cyclic number.

It is not a de Polignac number, because 242120455009 - 25 = 242120454977 is a prime.

It is not a weakly prime, because it can be changed into another prime (242120455079) 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, 121060227504 + 121060227505.

It is an arithmetic number, because the mean of its divisors is an integer number (121060227505).

Almost surely, 2242120455009 is an apocalyptic number.

It is an amenable number.

242120455009 is a deficient number, since it is larger than the sum of its proper divisors (1).

242120455009 is an equidigital number, since it uses as much as digits as its factorization.

242120455009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 242120455009 in words is "two hundred forty-two billion, one hundred twenty million, four hundred fifty-five thousand, nine".