Search a number
-
+
1365340013 is a prime number
BaseRepresentation
bin101000101100001…
…0110111101101101
310112011010110101122
41101120112331231
510244011340023
6343251550325
745556125062
oct12130267555
93464113348
101365340013
11640776184
123212bb3a5
13189b346cb
14cd48cc69
157ecea2c8
hex51616f6d

1365340013 has 2 divisors, whose sum is σ = 1365340014. Its totient is φ = 1365340012.

The previous prime is 1365339991. The next prime is 1365340079. The reversal of 1365340013 is 3100435631.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1156884169 + 208455844 = 34013^2 + 14438^2 .

It is a cyclic number.

It is not a de Polignac number, because 1365340013 - 28 = 1365339757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1365340313) 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, 682670006 + 682670007.

It is an arithmetic number, because the mean of its divisors is an integer number (682670007).

Almost surely, 21365340013 is an apocalyptic number.

It is an amenable number.

1365340013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1365340013 is an equidigital number, since it uses as much as digits as its factorization.

1365340013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 1365340013 is about 36950.5076149165. The cubic root of 1365340013 is about 1109.3798481074.

Adding to 1365340013 its reverse (3100435631), we get a palindrome (4465775644).

The spelling of 1365340013 in words is "one billion, three hundred sixty-five million, three hundred forty thousand, thirteen".