Search a number
-
+
243710081 is a prime number
BaseRepresentation
bin11101000011010…
…11100010000001
3121222120202101022
432201223202001
5444342210311
640103315225
76016334006
oct1641534201
9558522338
10243710081
11115627a9a
126974bb15
133b64c764
142451d8ad
15165e05db
hexe86b881

243710081 has 2 divisors, whose sum is σ = 243710082. Its totient is φ = 243710080.

The previous prime is 243710063. The next prime is 243710099. The reversal of 243710081 is 180017342.

It is a balanced prime because it is at equal distance from previous prime (243710063) and next prime (243710099).

It can be written as a sum of positive squares in only one way, i.e., 219306481 + 24403600 = 14809^2 + 4940^2 .

It is a cyclic number.

It is not a de Polignac number, because 243710081 - 218 = 243447937 is a prime.

It is a super-3 number, since 3×2437100813 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is equal to p13353641 and since 243710081 and 13353641 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 243710081.

It is not a weakly prime, because it can be changed into another prime (243710041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121855040 + 121855041.

It is an arithmetic number, because the mean of its divisors is an integer number (121855041).

Almost surely, 2243710081 is an apocalyptic number.

It is an amenable number.

243710081 is a deficient number, since it is larger than the sum of its proper divisors (1).

243710081 is an equidigital number, since it uses as much as digits as its factorization.

243710081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 243710081 is about 15611.2165124951. The cubic root of 243710081 is about 624.6323862720.

The spelling of 243710081 in words is "two hundred forty-three million, seven hundred ten thousand, eighty-one".