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3300133223329 is a prime number
BaseRepresentation
bin110000000001011111010…
…001001011101110100001
3102200111012221212202020121
4300001133101023232201
5413032133101121304
611004021004040241
7460266243363565
oct60013721135641
912614187782217
103300133223329
1110626401966a8
12453707b33081
131ac280135487
14b5a279d76a5
155ac9d96b554
hex3005f44bba1

3300133223329 has 2 divisors, whose sum is σ = 3300133223330. Its totient is φ = 3300133223328.

The previous prime is 3300133223293. The next prime is 3300133223333. The reversal of 3300133223329 is 9233223310033.

Together with previous prime (3300133223293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1847011466304 + 1453121757025 = 1359048^2 + 1205455^2 .

It is an emirp because it is prime and its reverse (9233223310033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3300133223329 - 29 = 3300133222817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3300133223294 and 3300133223303.

It is not a weakly prime, because it can be changed into another prime (3300133223129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1650066611664 + 1650066611665.

It is an arithmetic number, because the mean of its divisors is an integer number (1650066611665).

Almost surely, 23300133223329 is an apocalyptic number.

It is an amenable number.

3300133223329 is a deficient number, since it is larger than the sum of its proper divisors (1).

3300133223329 is an equidigital number, since it uses as much as digits as its factorization.

3300133223329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52488, while the sum is 34.

The spelling of 3300133223329 in words is "three trillion, three hundred billion, one hundred thirty-three million, two hundred twenty-three thousand, three hundred twenty-nine".