Search a number
-
+
1310782841089 is a prime number
BaseRepresentation
bin10011000100110000101…
…111101110000100000001
311122022100201011112102221
4103010300233232010001
5132433440401403324
62442055413211041
7163462264213021
oct23046057560401
94568321145387
101310782841089
11465999818307
12192056630a81
13967b603a597
144762968ba81
152416a8bb0e4
hex13130bee101

1310782841089 has 2 divisors, whose sum is σ = 1310782841090. Its totient is φ = 1310782841088.

The previous prime is 1310782841059. The next prime is 1310782841129. The reversal of 1310782841089 is 9801482870131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1278018945025 + 32763896064 = 1130495^2 + 181008^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310782841089 - 225 = 1310749286657 is a prime.

It is not a weakly prime, because it can be changed into another prime (1310782841029) 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, 655391420544 + 655391420545.

It is an arithmetic number, because the mean of its divisors is an integer number (655391420545).

Almost surely, 21310782841089 is an apocalyptic number.

It is an amenable number.

1310782841089 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310782841089 is an equidigital number, since it uses as much as digits as its factorization.

1310782841089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 774144, while the sum is 52.

The spelling of 1310782841089 in words is "one trillion, three hundred ten billion, seven hundred eighty-two million, eight hundred forty-one thousand, eighty-nine".