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330333222301241 is a prime number
BaseRepresentation
bin100101100011011111011001…
…0010111110110111000111001
31121022121112210020012010202212
41023012332302113312320321
5321244134414402114431
63130320553133504505
7126402534123043025
oct11306766227667071
91538545706163685
10330333222301241
1196288595246485
123107095b942135
131124239b4b4283
145b802db2c1385
15282cad277672b
hex12c6fb25f6e39

330333222301241 has 2 divisors, whose sum is σ = 330333222301242. Its totient is φ = 330333222301240.

The previous prime is 330333222301151. The next prime is 330333222301289. The reversal of 330333222301241 is 142103222333033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 243589686169600 + 86743536131641 = 15607360^2 + 9313621^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-330333222301241 is a prime.

It is a super-2 number, since 2×3303332223012412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330333222301198 and 330333222301207.

It is not a weakly prime, because it can be changed into another prime (330333222301441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165166611150620 + 165166611150621.

It is an arithmetic number, because the mean of its divisors is an integer number (165166611150621).

Almost surely, 2330333222301241 is an apocalyptic number.

It is an amenable number.

330333222301241 is a deficient number, since it is larger than the sum of its proper divisors (1).

330333222301241 is an equidigital number, since it uses as much as digits as its factorization.

330333222301241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 330333222301241 its reverse (142103222333033), we get a palindrome (472436444634274).

The spelling of 330333222301241 in words is "three hundred thirty trillion, three hundred thirty-three billion, two hundred twenty-two million, three hundred one thousand, two hundred forty-one".