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323312312041 is a prime number
BaseRepresentation
bin1001011010001101110…
…10100101111011101001
31010220112012011011220121
410231012322211323221
520244120422441131
6404305544523241
732233660210555
oct4550672457351
91126465134817
10323312312041
1111513040a394
12527b0780521
13246468098a4
14119112ca865
158624110911
hex4b46ea5ee9

323312312041 has 2 divisors, whose sum is σ = 323312312042. Its totient is φ = 323312312040.

The previous prime is 323312312033. The next prime is 323312312087. The reversal of 323312312041 is 140213213323.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 278958267225 + 44354044816 = 528165^2 + 210604^2 .

It is an emirp because it is prime and its reverse (140213213323) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 323312312041 - 23 = 323312312033 is a prime.

It is a super-3 number, since 3×3233123120413 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 323312311997 and 323312312015.

It is not a weakly prime, because it can be changed into another prime (323312312021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 161656156020 + 161656156021.

It is an arithmetic number, because the mean of its divisors is an integer number (161656156021).

Almost surely, 2323312312041 is an apocalyptic number.

It is an amenable number.

323312312041 is a deficient number, since it is larger than the sum of its proper divisors (1).

323312312041 is an equidigital number, since it uses as much as digits as its factorization.

323312312041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 323312312041 its reverse (140213213323), we get a palindrome (463525525364).

The spelling of 323312312041 in words is "three hundred twenty-three billion, three hundred twelve million, three hundred twelve thousand, forty-one".