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242387162081 is a prime number
BaseRepresentation
bin1110000110111101100…
…1101001001111100001
3212011122101012121202022
43201233121221033201
512432402103141311
6303203502031225
723340402612011
oct3415731511741
9764571177668
10242387162081
1193883263469
123ab86b78515
1319b1ab13b7c
14ba35729c41
1564897e85db
hex386f6693e1

242387162081 has 2 divisors, whose sum is σ = 242387162082. Its totient is φ = 242387162080.

The previous prime is 242387162063. The next prime is 242387162111. The reversal of 242387162081 is 180261783242.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137923104400 + 104464057681 = 371380^2 + 323209^2 .

It is a cyclic number.

It is not a de Polignac number, because 242387162081 - 214 = 242387145697 is a prime.

It is a super-3 number, since 3×2423871620813 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (242387162011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121193581040 + 121193581041.

It is an arithmetic number, because the mean of its divisors is an integer number (121193581041).

Almost surely, 2242387162081 is an apocalyptic number.

It is an amenable number.

242387162081 is a deficient number, since it is larger than the sum of its proper divisors (1).

242387162081 is an equidigital number, since it uses as much as digits as its factorization.

242387162081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 242387162081 in words is "two hundred forty-two billion, three hundred eighty-seven million, one hundred sixty-two thousand, eighty-one".