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242432313017 is a prime number
BaseRepresentation
bin1110000111001000010…
…1111000011010111001
3212011202112011112012012
43201302011320122321
512433000133004032
6303212153455305
723341461442256
oct3416205703271
9764675145165
10242432313017
11938a67a1a94
123ab9a111535
1319b272920bb
14ba3b72042d
15648d7666b2
hex38721786b9

242432313017 has 2 divisors, whose sum is σ = 242432313018. Its totient is φ = 242432313016.

The previous prime is 242432312951. The next prime is 242432313043. The reversal of 242432313017 is 710313234242.

242432313017 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., 169516652176 + 72915660841 = 411724^2 + 270029^2 .

It is a cyclic number.

It is not a de Polignac number, because 242432313017 - 226 = 242365204153 is a prime.

It is not a weakly prime, because it can be changed into another prime (242432313047) 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, 121216156508 + 121216156509.

It is an arithmetic number, because the mean of its divisors is an integer number (121216156509).

Almost surely, 2242432313017 is an apocalyptic number.

It is an amenable number.

242432313017 is a deficient number, since it is larger than the sum of its proper divisors (1).

242432313017 is an equidigital number, since it uses as much as digits as its factorization.

242432313017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 32.

Adding to 242432313017 its reverse (710313234242), we get a palindrome (952745547259).

The spelling of 242432313017 in words is "two hundred forty-two billion, four hundred thirty-two million, three hundred thirteen thousand, seventeen".