Search a number
-
+
13362750337 is a prime number
BaseRepresentation
bin11000111000111101…
…10110001110000001
31021111021101001101011
430130132312032001
5204331331002322
610045550040521
7652066334536
oct143436661601
937437331334
1013362750337
115737a19122
12270b1a9141
13134c5a0581
1490a9d4d8d
15533208677
hex31c7b6381

13362750337 has 2 divisors, whose sum is σ = 13362750338. Its totient is φ = 13362750336.

The previous prime is 13362750311. The next prime is 13362750371. The reversal of 13362750337 is 73305726331.

13362750337 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., 9388834816 + 3973915521 = 96896^2 + 63039^2 .

It is a cyclic number.

It is not a de Polignac number, because 13362750337 - 215 = 13362717569 is a prime.

It is a super-2 number, since 2×133627503372 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13362750337.

It is not a weakly prime, because it can be changed into another prime (13362750637) 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, 6681375168 + 6681375169.

It is an arithmetic number, because the mean of its divisors is an integer number (6681375169).

Almost surely, 213362750337 is an apocalyptic number.

It is an amenable number.

13362750337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13362750337 is an equidigital number, since it uses as much as digits as its factorization.

13362750337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 238140, while the sum is 40.

The spelling of 13362750337 in words is "thirteen billion, three hundred sixty-two million, seven hundred fifty thousand, three hundred thirty-seven".