Search a number
-
+
13221132313 = 106357124309
BaseRepresentation
bin11000101000000101…
…00111100000011001
31021010101220002222011
430110002213200121
5204034102213223
610023530425521
7645426525154
oct142402474031
937111802864
1013221132313
115674a91434
12268b8922a1
13132914791c
148d5c8cc9b
15525a8280d
hex3140a7819

13221132313 has 4 divisors (see below), whose sum is σ = 13221362980. Its totient is φ = 13220901648.

The previous prime is 13221132307. The next prime is 13221132341. The reversal of 13221132313 is 31323112231.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 31323112231 = 35987251009.

It can be written as a sum of positive squares in 2 ways, for example, as 9046292544 + 4174839769 = 95112^2 + 64613^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13221132313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13221138313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44203 + ... + 168511.

It is an arithmetic number, because the mean of its divisors is an integer number (3305340745).

Almost surely, 213221132313 is an apocalyptic number.

It is an amenable number.

13221132313 is a deficient number, since it is larger than the sum of its proper divisors (230667).

13221132313 is a wasteful number, since it uses less digits than its factorization.

13221132313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230666.

The product of its digits is 648, while the sum is 22.

Adding to 13221132313 its reverse (31323112231), we get a palindrome (44544244544).

The spelling of 13221132313 in words is "thirteen billion, two hundred twenty-one million, one hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 106357 124309 13221132313