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330321412100201 is a prime number
BaseRepresentation
bin100101100011011001111001…
…0011011100001000001101001
31121022120102022011012202122112
41023012303302123201001221
5321243441222444201301
63130311321204132105
7126401635345016024
oct11306636233410151
91538512264182575
10330321412100201
119628358473a655
123106a604697035
1311241238774832
145b7d8da98c1bb
15282c6409e79bb
hex12c6cf26e1069

330321412100201 has 2 divisors, whose sum is σ = 330321412100202. Its totient is φ = 330321412100200.

The previous prime is 330321412100171. The next prime is 330321412100227. The reversal of 330321412100201 is 102001214123033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 262041598914601 + 68279813185600 = 16187699^2 + 8263160^2 .

It is a cyclic number.

It is not a de Polignac number, because 330321412100201 - 26 = 330321412100137 is a prime.

It is a super-2 number, since 2×3303214121002012 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (330321412100261) 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, 165160706050100 + 165160706050101.

It is an arithmetic number, because the mean of its divisors is an integer number (165160706050101).

Almost surely, 2330321412100201 is an apocalyptic number.

It is an amenable number.

330321412100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

330321412100201 is an equidigital number, since it uses as much as digits as its factorization.

330321412100201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 330321412100201 its reverse (102001214123033), we get a palindrome (432322626223234).

The spelling of 330321412100201 in words is "three hundred thirty trillion, three hundred twenty-one billion, four hundred twelve million, one hundred thousand, two hundred one".