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242008097 is a prime number
BaseRepresentation
bin11100110110011…
…00000000100001
3121212101021200212
432123030000201
5443423224342
640003023505
75666014652
oct1633140041
9555337625
10242008097
111146752a1
126906ab95
133b1a4b76
14241d9529
15163a6182
hexe6cc021

242008097 has 2 divisors, whose sum is σ = 242008098. Its totient is φ = 242008096.

The previous prime is 242008043. The next prime is 242008099. The reversal of 242008097 is 790800242.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168065296 + 73942801 = 12964^2 + 8599^2 .

It is a cyclic number.

It is not a de Polignac number, because 242008097 - 26 = 242008033 is a prime.

It is a super-2 number, since 2×2420080972 = 117135838027122818, which contains 22 as substring.

Together with 242008099, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (242008099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121004048 + 121004049.

It is an arithmetic number, because the mean of its divisors is an integer number (121004049).

Almost surely, 2242008097 is an apocalyptic number.

It is an amenable number.

242008097 is a deficient number, since it is larger than the sum of its proper divisors (1).

242008097 is an equidigital number, since it uses as much as digits as its factorization.

242008097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 242008097 is about 15556.6094313639. The cubic root of 242008097 is about 623.1749184849.

The spelling of 242008097 in words is "two hundred forty-two million, eight thousand, ninety-seven".