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243222312041 is a prime number
BaseRepresentation
bin1110001010000100101…
…1011111010001101001
3212020210120200122010022
43202201023133101221
512441104402441131
6303422414130225
723400163353362
oct3424113372151
9766716618108
10243222312041
1194171721a45
123b17a7b0975
1319c21b52b47
14bab4604b69
1564d7cb537b
hex38a12df469

243222312041 has 2 divisors, whose sum is σ = 243222312042. Its totient is φ = 243222312040.

The previous prime is 243222312017. The next prime is 243222312043. The reversal of 243222312041 is 140213222342.

243222312041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198234205225 + 44988106816 = 445235^2 + 212104^2 .

It is a cyclic number.

It is not a de Polignac number, because 243222312041 - 218 = 243222049897 is a prime.

Together with 243222312043, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 243222312041.

It is not a weakly prime, because it can be changed into another prime (243222312043) 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, 121611156020 + 121611156021.

It is an arithmetic number, because the mean of its divisors is an integer number (121611156021).

Almost surely, 2243222312041 is an apocalyptic number.

It is an amenable number.

243222312041 is a deficient number, since it is larger than the sum of its proper divisors (1).

243222312041 is an equidigital number, since it uses as much as digits as its factorization.

243222312041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 243222312041 its reverse (140213222342), we get a palindrome (383435534383).

The spelling of 243222312041 in words is "two hundred forty-three billion, two hundred twenty-two million, three hundred twelve thousand, forty-one".