Search a number
-
+
13011103117 is a prime number
BaseRepresentation
bin11000001111000010…
…11010110110001101
31020120202200112002001
430013201122312031
5203121320244432
65551025032301
7640266360145
oct140741326615
936522615061
1013011103117
115577479391
122631485691
1312c478b6ac
148b6019925
155123e69e7
hex30785ad8d

13011103117 has 2 divisors, whose sum is σ = 13011103118. Its totient is φ = 13011103116.

The previous prime is 13011103087. The next prime is 13011103163. The reversal of 13011103117 is 71130111031.

13011103117 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., 12765836196 + 245266921 = 112986^2 + 15661^2 .

It is a cyclic number.

It is not a de Polignac number, because 13011103117 - 223 = 13002714509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13011103094 and 13011103103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13011103177) 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, 6505551558 + 6505551559.

It is an arithmetic number, because the mean of its divisors is an integer number (6505551559).

Almost surely, 213011103117 is an apocalyptic number.

It is an amenable number.

13011103117 is a deficient number, since it is larger than the sum of its proper divisors (1).

13011103117 is an equidigital number, since it uses as much as digits as its factorization.

13011103117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 19.

Adding to 13011103117 its reverse (71130111031), we get a palindrome (84141214148).

The spelling of 13011103117 in words is "thirteen billion, eleven million, one hundred three thousand, one hundred seventeen".