Search a number
-
+
13313400047 is a prime number
BaseRepresentation
bin11000110011000101…
…00101110011101111
31021100211111210111122
430121202211303233
5204231212300142
610041024211155
7650630014253
oct143142456357
937324453448
1013313400047
115712081562
1226b6769abb
1313422b1b0c
1490422a263
1552dc0b1d2
hex3198a5cef

13313400047 has 2 divisors, whose sum is σ = 13313400048. Its totient is φ = 13313400046.

The previous prime is 13313400007. The next prime is 13313400049. The reversal of 13313400047 is 74000431331.

It is a strong prime.

It is an emirp because it is prime and its reverse (74000431331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13313400047 - 214 = 13313383663 is a prime.

It is a super-2 number, since 2×133134000472 (a number of 21 digits) contains 22 as substring.

Together with 13313400049, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13313399989 and 13313400025.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13313400049) 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, 6656700023 + 6656700024.

It is an arithmetic number, because the mean of its divisors is an integer number (6656700024).

Almost surely, 213313400047 is an apocalyptic number.

13313400047 is a deficient number, since it is larger than the sum of its proper divisors (1).

13313400047 is an equidigital number, since it uses as much as digits as its factorization.

13313400047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 26.

Adding to 13313400047 its reverse (74000431331), we get a palindrome (87313831378).

The spelling of 13313400047 in words is "thirteen billion, three hundred thirteen million, four hundred thousand, forty-seven".