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12033303013 is a prime number
BaseRepresentation
bin10110011010011110…
…11010000111100101
31011001121210010111101
423031033122013211
5144121011144023
65310015240101
7604124250034
oct131517320745
934047703441
1012033303013
115115538726
1223b9b19031
13119a025054
1482220a71b
154a664d1ad
hex2cd3da1e5

12033303013 has 2 divisors, whose sum is σ = 12033303014. Its totient is φ = 12033303012.

The previous prime is 12033302993. The next prime is 12033303017. The reversal of 12033303013 is 31030333021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11842227684 + 191075329 = 108822^2 + 13823^2 .

It is a cyclic number.

It is not a de Polignac number, because 12033303013 - 213 = 12033294821 is a prime.

It is a super-3 number, since 3×120333030133 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12033303017) 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, 6016651506 + 6016651507.

It is an arithmetic number, because the mean of its divisors is an integer number (6016651507).

Almost surely, 212033303013 is an apocalyptic number.

It is an amenable number.

12033303013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12033303013 is an equidigital number, since it uses as much as digits as its factorization.

12033303013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 12033303013 its reverse (31030333021), we get a palindrome (43063636034).

The spelling of 12033303013 in words is "twelve billion, thirty-three million, three hundred three thousand, thirteen".