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13335012337 is a prime number
BaseRepresentation
bin11000110101101010…
…00010001111110001
31021102100011210222211
430122311002033301
5204302230343322
610043115332121
7651311506663
oct143265021761
937370153884
1013335012337
1157232a3159
122701a51041
13134690b05a
14907054533
15530a79b77
hex31ad423f1

13335012337 has 2 divisors, whose sum is σ = 13335012338. Its totient is φ = 13335012336.

The previous prime is 13335012331. The next prime is 13335012391. The reversal of 13335012337 is 73321053331.

13335012337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10395637681 + 2939374656 = 101959^2 + 54216^2 .

It is an emirp because it is prime and its reverse (73321053331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13335012337 - 23 = 13335012329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13335012299 and 13335012308.

It is not a weakly prime, because it can be changed into another prime (13335012331) 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, 6667506168 + 6667506169.

It is an arithmetic number, because the mean of its divisors is an integer number (6667506169).

Almost surely, 213335012337 is an apocalyptic number.

It is an amenable number.

13335012337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13335012337 is an equidigital number, since it uses as much as digits as its factorization.

13335012337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17010, while the sum is 31.

Adding to 13335012337 its reverse (73321053331), we get a palindrome (86656065668).

The spelling of 13335012337 in words is "thirteen billion, three hundred thirty-five million, twelve thousand, three hundred thirty-seven".