Search a number
-
+
13381680817 is a prime number
BaseRepresentation
bin11000111011001110…
…00011111010110001
31021112120222211010001
430131213003322301
5204401202241232
610051503510001
7652416260461
oct143547037261
937476884101
1013381680817
11574767894a
1227155b8301
13135349ac3b
1490d321ba1
15534be76e7
hex31d9c3eb1

13381680817 has 2 divisors, whose sum is σ = 13381680818. Its totient is φ = 13381680816.

The previous prime is 13381680803. The next prime is 13381680833. The reversal of 13381680817 is 71808618331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12961594801 + 420086016 = 113849^2 + 20496^2 .

It is an emirp because it is prime and its reverse (71808618331) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13381680817 is a prime.

It is not a weakly prime, because it can be changed into another prime (13381680857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6690840408 + 6690840409.

It is an arithmetic number, because the mean of its divisors is an integer number (6690840409).

Almost surely, 213381680817 is an apocalyptic number.

It is an amenable number.

13381680817 is a deficient number, since it is larger than the sum of its proper divisors (1).

13381680817 is an equidigital number, since it uses as much as digits as its factorization.

13381680817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 13381680817 in words is "thirteen billion, three hundred eighty-one million, six hundred eighty thousand, eight hundred seventeen".