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230736066817 is a prime number
BaseRepresentation
bin1101011011100011110…
…0001111100100000001
3211001120101121122201111
43112320330033210001
512240021413114232
6253555414403321
722445566131154
oct3267074174401
9731511548644
10230736066817
1189944549113
1238875060541
13189b2040b69
14b24c1b1c9b
1560069e7047
hex35b8f0f901

230736066817 has 2 divisors, whose sum is σ = 230736066818. Its totient is φ = 230736066816.

The previous prime is 230736066797. The next prime is 230736066839. The reversal of 230736066817 is 718660637032.

It is a happy number.

230736066817 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205237086961 + 25498979856 = 453031^2 + 159684^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-230736066817 is a prime.

It is a super-2 number, since 2×2307360668172 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (230736066887) 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, 115368033408 + 115368033409.

It is an arithmetic number, because the mean of its divisors is an integer number (115368033409).

Almost surely, 2230736066817 is an apocalyptic number.

It is an amenable number.

230736066817 is a deficient number, since it is larger than the sum of its proper divisors (1).

230736066817 is an equidigital number, since it uses as much as digits as its factorization.

230736066817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1524096, while the sum is 49.

The spelling of 230736066817 in words is "two hundred thirty billion, seven hundred thirty-six million, sixty-six thousand, eight hundred seventeen".