Search a number
-
+
201243495936097 is a prime number
BaseRepresentation
bin101101110000011110100111…
…000101101011000001100001
3222101112200122020121122211001
4231300132213011223001201
5202334133134424423342
61552001552530552001
760250235301344056
oct5560364705530141
9871480566548731
10201243495936097
1159138984059a6a
121a6a2407738601
13883a245ca1a84
14379a346b3b02d
15183ec126198b7
hexb707a716b061

201243495936097 has 2 divisors, whose sum is σ = 201243495936098. Its totient is φ = 201243495936096.

The previous prime is 201243495936071. The next prime is 201243495936137. The reversal of 201243495936097 is 790639594342102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 193632540566481 + 7610955369616 = 13915191^2 + 2758796^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201243495936097 is a prime.

It is not a weakly prime, because it can be changed into another prime (201243495936017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100621747968048 + 100621747968049.

It is an arithmetic number, because the mean of its divisors is an integer number (100621747968049).

Almost surely, 2201243495936097 is an apocalyptic number.

It is an amenable number.

201243495936097 is a deficient number, since it is larger than the sum of its proper divisors (1).

201243495936097 is an equidigital number, since it uses as much as digits as its factorization.

201243495936097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 88179840, while the sum is 64.

The spelling of 201243495936097 in words is "two hundred one trillion, two hundred forty-three billion, four hundred ninety-five million, nine hundred thirty-six thousand, ninety-seven".