Search a number
-
+
243313117 is a prime number
BaseRepresentation
bin11101000000010…
…10100111011101
3121221211120211221
432200022213131
5444242004432
640051013341
76013061455
oct1640124735
9557746757
10243313117
11115386823
126959a251
133b540b78
1424458d65
1516562b97
hexe80a9dd

243313117 has 2 divisors, whose sum is σ = 243313118. Its totient is φ = 243313116.

The previous prime is 243313093. The next prime is 243313153. The reversal of 243313117 is 711313342.

243313117 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., 188760121 + 54552996 = 13739^2 + 7386^2 .

It is a cyclic number.

It is not a de Polignac number, because 243313117 - 211 = 243311069 is a prime.

It is a super-3 number, since 3×2433131173 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243313091 and 243313100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (243313177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121656558 + 121656559.

It is an arithmetic number, because the mean of its divisors is an integer number (121656559).

Almost surely, 2243313117 is an apocalyptic number.

It is an amenable number.

243313117 is a deficient number, since it is larger than the sum of its proper divisors (1).

243313117 is an equidigital number, since it uses as much as digits as its factorization.

243313117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1512, while the sum is 25.

The square root of 243313117 is about 15598.4972673652. The cubic root of 243313117 is about 624.2930605200.

Adding to 243313117 its reverse (711313342), we get a palindrome (954626459).

The spelling of 243313117 in words is "two hundred forty-three million, three hundred thirteen thousand, one hundred seventeen".