Search a number
-
+
10111300013 is a prime number
BaseRepresentation
bin10010110101010111…
…00011000110101101
3222002200012021001002
421122223203012231
5131201443100023
64351200130045
7505365426533
oct113253430655
928080167032
1010111300013
1143196243a1
121b62306925
13c51a89479
146bcc56153
153e2a45b28
hex25aae31ad

10111300013 has 2 divisors, whose sum is σ = 10111300014. Its totient is φ = 10111300012.

The previous prime is 10111299959. The next prime is 10111300027. The reversal of 10111300013 is 31000311101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6911927044 + 3199372969 = 83138^2 + 56563^2 .

It is an emirp because it is prime and its reverse (31000311101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10111300013 - 212 = 10111295917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111299967 and 10111300003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111300063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055650006 + 5055650007.

It is an arithmetic number, because the mean of its divisors is an integer number (5055650007).

Almost surely, 210111300013 is an apocalyptic number.

It is an amenable number.

10111300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111300013 is an equidigital number, since it uses as much as digits as its factorization.

10111300013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 10111300013 its reverse (31000311101), we get a palindrome (41111611114).

The spelling of 10111300013 in words is "ten billion, one hundred eleven million, three hundred thousand, thirteen".