Search a number
-
+
300221231323133 is a prime number
BaseRepresentation
bin100010001000011001011001…
…1110110001101011111111101
31110100222212110210201020101202
41010100302303312031133331
5303322311040204320013
62542303421335145245
7120144160661625251
oct10420626366153775
91410885423636352
10300221231323133
118772912236aa6a
1229808a76b15225
13cb6998223c393
14541cadc564261
1524a969abc5858
hex1110cb3d8d7fd

300221231323133 has 2 divisors, whose sum is σ = 300221231323134. Its totient is φ = 300221231323132.

The previous prime is 300221231323129. The next prime is 300221231323207. The reversal of 300221231323133 is 331323132122003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 293002541278489 + 7218690044644 = 17117317^2 + 2686762^2 .

It is a cyclic number.

It is not a de Polignac number, because 300221231323133 - 22 = 300221231323129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 300221231323096 and 300221231323105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300221231323733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150110615661566 + 150110615661567.

It is an arithmetic number, because the mean of its divisors is an integer number (150110615661567).

Almost surely, 2300221231323133 is an apocalyptic number.

It is an amenable number.

300221231323133 is a deficient number, since it is larger than the sum of its proper divisors (1).

300221231323133 is an equidigital number, since it uses as much as digits as its factorization.

300221231323133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 300221231323133 its reverse (331323132122003), we get a palindrome (631544363445136).

The spelling of 300221231323133 in words is "three hundred trillion, two hundred twenty-one billion, two hundred thirty-one million, three hundred twenty-three thousand, one hundred thirty-three".