Search a number
-
+
330040100403241 is a prime number
BaseRepresentation
bin100101100001010110111001…
…0111100100011100000101001
31121021120112012001121220012021
41023002231302330203200221
5321224334111200400431
63125534155022144441
7126342416234032024
oct11302556274434051
91537515161556167
10330040100403241
1196185247605aa8
1231023b95a22121
131122085664b807
145b700518481bb
152825178d53b11
hex12c2b72f23829

330040100403241 has 2 divisors, whose sum is σ = 330040100403242. Its totient is φ = 330040100403240.

The previous prime is 330040100403199. The next prime is 330040100403253. The reversal of 330040100403241 is 142304001040033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 322539294065641 + 7500806337600 = 17959379^2 + 2738760^2 .

It is a cyclic number.

It is not a de Polignac number, because 330040100403241 - 29 = 330040100402729 is a prime.

It is not a weakly prime, because it can be changed into another prime (330040100403271) 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, 165020050201620 + 165020050201621.

It is an arithmetic number, because the mean of its divisors is an integer number (165020050201621).

Almost surely, 2330040100403241 is an apocalyptic number.

It is an amenable number.

330040100403241 is a deficient number, since it is larger than the sum of its proper divisors (1).

330040100403241 is an equidigital number, since it uses as much as digits as its factorization.

330040100403241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 330040100403241 its reverse (142304001040033), we get a palindrome (472344101443274).

The spelling of 330040100403241 in words is "three hundred thirty trillion, forty billion, one hundred million, four hundred three thousand, two hundred forty-one".