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13202000333 is a prime number
BaseRepresentation
bin11000100101110011…
…01000100111001101
31021002001220002211022
430102321220213031
5204014203002313
610022004403525
7645105102614
oct142271504715
937061802738
1013202000333
115665204285
1226853a65a5
1313251a9622
148d350c87b
15524053c08
hex312e689cd

13202000333 has 2 divisors, whose sum is σ = 13202000334. Its totient is φ = 13202000332.

The previous prime is 13202000323. The next prime is 13202000341. The reversal of 13202000333 is 33300020231.

13202000333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11594551684 + 1607448649 = 107678^2 + 40093^2 .

It is a cyclic number.

It is not a de Polignac number, because 13202000333 - 212 = 13201996237 is a prime.

It is a super-2 number, since 2×132020003332 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13202000323) 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, 6601000166 + 6601000167.

It is an arithmetic number, because the mean of its divisors is an integer number (6601000167).

Almost surely, 213202000333 is an apocalyptic number.

It is an amenable number.

13202000333 is a deficient number, since it is larger than the sum of its proper divisors (1).

13202000333 is an equidigital number, since it uses as much as digits as its factorization.

13202000333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 13202000333 its reverse (33300020231), we get a palindrome (46502020564).

The spelling of 13202000333 in words is "thirteen billion, two hundred two million, three hundred thirty-three", and thus it is an aban number.