Search a number
-
+
13310020321 = 131377473341
BaseRepresentation
bin11000110010101011…
…01100101011100001
31021100121011002101121
430121111230223201
5204224331122241
610040423532241
7650556206653
oct143125545341
937317132347
1013310020321
1157101832a4
1226b55ba081
13134169a690
149039ca6d3
1552d78ead1
hex31956cae1

13310020321 has 8 divisors (see below), whose sum is σ = 14438496744. Its totient is φ = 12196490880.

The previous prime is 13310020309. The next prime is 13310020331. The reversal of 13310020321 is 12302001331.

13310020321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 71216721 + 13238803600 = 8439^2 + 115060^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13310020321 - 25 = 13310020289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13310020295 and 13310020304.

It is not an unprimeable number, because it can be changed into a prime (13310020331) 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 in 7 ways as a sum of consecutive naturals, for example, 3734890 + ... + 3738451.

It is an arithmetic number, because the mean of its divisors is an integer number (1804812093).

Almost surely, 213310020321 is an apocalyptic number.

It is an amenable number.

13310020321 is a deficient number, since it is larger than the sum of its proper divisors (1128476423).

13310020321 is a wasteful number, since it uses less digits than its factorization.

13310020321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7473491.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13310020321 its reverse (12302001331), we get a palindrome (25612021652).

The spelling of 13310020321 in words is "thirteen billion, three hundred ten million, twenty thousand, three hundred twenty-one".

Divisors: 1 13 137 1781 7473341 97153433 1023847717 13310020321