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3320331211121 is a prime number
BaseRepresentation
bin110000010100010011001…
…010011001000101110001
3102202102100120221211200112
4300110103022121011301
5413400014242223441
611021201125031105
7461612621424431
oct60242312310561
912672316854615
103320331211121
1110701654538a1
12457604255495
131b114b841542
14b69c22da2c1
155b581c954eb
hex30513299171

3320331211121 has 2 divisors, whose sum is σ = 3320331211122. Its totient is φ = 3320331211120.

The previous prime is 3320331211117. The next prime is 3320331211123. The reversal of 3320331211121 is 1211121330233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2698266169600 + 622065041521 = 1642640^2 + 788711^2 .

It is a cyclic number.

It is not a de Polignac number, because 3320331211121 - 22 = 3320331211117 is a prime.

It is a super-2 number, since 2×33203312111212 (a number of 26 digits) contains 22 as substring.

Together with 3320331211123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3320331211123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1660165605560 + 1660165605561.

It is an arithmetic number, because the mean of its divisors is an integer number (1660165605561).

Almost surely, 23320331211121 is an apocalyptic number.

It is an amenable number.

3320331211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

3320331211121 is an equidigital number, since it uses as much as digits as its factorization.

3320331211121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 3320331211121 its reverse (1211121330233), we get a palindrome (4531452541354).

The spelling of 3320331211121 in words is "three trillion, three hundred twenty billion, three hundred thirty-one million, two hundred eleven thousand, one hundred twenty-one".