Search a number
-
+
1223310340013 is a prime number
BaseRepresentation
bin10001110011010010111…
…110100110111110101101
311022221120121020002000212
4101303102332212332231
5130020314421340023
62333551522032205
7154244525216006
oct21632276467655
94287517202025
101223310340013
11431891882603
121791041a8665
138b485a551c8
14432cc31c1ad
1521c4b39ce78
hex11cd2fa6fad

1223310340013 has 2 divisors, whose sum is σ = 1223310340014. Its totient is φ = 1223310340012.

The previous prime is 1223310339991. The next prime is 1223310340067. The reversal of 1223310340013 is 3100430133221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1112776033924 + 110534306089 = 1054882^2 + 332467^2 .

It is an emirp because it is prime and its reverse (3100430133221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1223310340013 - 240 = 123798712237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223310340013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 611655170006 + 611655170007.

It is an arithmetic number, because the mean of its divisors is an integer number (611655170007).

Almost surely, 21223310340013 is an apocalyptic number.

It is an amenable number.

1223310340013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1223310340013 is an equidigital number, since it uses as much as digits as its factorization.

1223310340013 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1223310340013 its reverse (3100430133221), we get a palindrome (4323740473234).

The spelling of 1223310340013 in words is "one trillion, two hundred twenty-three billion, three hundred ten million, three hundred forty thousand, thirteen".