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2243103017 is a prime number
BaseRepresentation
bin1000010110110011…
…0000100100101001
312210022210102212112
42011230300210221
514043213244032
61010325252105
7106405026641
oct20554604451
95708712775
102243103017
11a5119a551
12527264035
132999436bc
14173c9b521
15d1dd31b2
hex85b30929

2243103017 has 2 divisors, whose sum is σ = 2243103018. Its totient is φ = 2243103016.

The previous prime is 2243102999. The next prime is 2243103019. The reversal of 2243103017 is 7103013422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1540641001 + 702462016 = 39251^2 + 26504^2 .

It is a cyclic number.

It is not a de Polignac number, because 2243103017 - 228 = 1974667561 is a prime.

It is a super-2 number, since 2×22431030172 = 10063022289749004578, which contains 22 as substring.

Together with 2243103019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2243102983 and 2243103001.

It is not a weakly prime, because it can be changed into another prime (2243103019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1121551508 + 1121551509.

It is an arithmetic number, because the mean of its divisors is an integer number (1121551509).

Almost surely, 22243103017 is an apocalyptic number.

It is an amenable number.

2243103017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2243103017 is an equidigital number, since it uses as much as digits as its factorization.

2243103017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 2243103017 is about 47361.4085200176. The cubic root of 2243103017 is about 1309.0304223518.

Adding to 2243103017 its reverse (7103013422), we get a palindrome (9346116439).

The spelling of 2243103017 in words is "two billion, two hundred forty-three million, one hundred three thousand, seventeen".