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242112313 is a prime number
BaseRepresentation
bin11100110111001…
…01011100111001
3121212120120122201
432123211130321
5443440043223
640005150201
75666630542
oct1633453471
9555516581
10242112313
11114736623
12690bb361
133b210431
14242254c9
15163c6ead
hexe6e5739

242112313 has 2 divisors, whose sum is σ = 242112314. Its totient is φ = 242112312.

The previous prime is 242112293. The next prime is 242112359. The reversal of 242112313 is 313211242.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125731369 + 116380944 = 11213^2 + 10788^2 .

It is a cyclic number.

It is not a de Polignac number, because 242112313 - 25 = 242112281 is a prime.

It is not a weakly prime, because it can be changed into another prime (242112613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121056156 + 121056157.

It is an arithmetic number, because the mean of its divisors is an integer number (121056157).

Almost surely, 2242112313 is an apocalyptic number.

It is an amenable number.

242112313 is a deficient number, since it is larger than the sum of its proper divisors (1).

242112313 is an equidigital number, since it uses as much as digits as its factorization.

242112313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 19.

The square root of 242112313 is about 15559.9586439039. The cubic root of 242112313 is about 623.2643582983.

Adding to 242112313 its reverse (313211242), we get a palindrome (555323555).

It can be divided in two parts, 2421123 and 13, that added together give a square (2421136 = 15562).

The spelling of 242112313 in words is "two hundred forty-two million, one hundred twelve thousand, three hundred thirteen".