Search a number
-
+
13312122233 is a prime number
BaseRepresentation
bin11000110010111011…
…01101110101111001
31021100202002212200012
430121131231311321
5204230400402413
610040540551305
7650613112664
oct143135556571
937322085605
1013312122233
115711389513
1226b6252535
131341c55307
14903db66db
1552da577a8
hex31976dd79

13312122233 has 2 divisors, whose sum is σ = 13312122234. Its totient is φ = 13312122232.

The previous prime is 13312122211. The next prime is 13312122259. The reversal of 13312122233 is 33222121331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7583448889 + 5728673344 = 87083^2 + 75688^2 .

It is a cyclic number.

It is not a de Polignac number, because 13312122233 - 222 = 13307927929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13312122199 and 13312122208.

It is not a weakly prime, because it can be changed into another prime (13312124233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656061116 + 6656061117.

It is an arithmetic number, because the mean of its divisors is an integer number (6656061117).

Almost surely, 213312122233 is an apocalyptic number.

It is an amenable number.

13312122233 is a deficient number, since it is larger than the sum of its proper divisors (1).

13312122233 is an equidigital number, since it uses as much as digits as its factorization.

13312122233 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 23.

Adding to 13312122233 its reverse (33222121331), we get a palindrome (46534243564).

The spelling of 13312122233 in words is "thirteen billion, three hundred twelve million, one hundred twenty-two thousand, two hundred thirty-three".