Search a number
-
+
12201313013 is a prime number
BaseRepresentation
bin10110101110100000…
…10100001011110101
31011111022220220212222
423113100110023311
5144442014004023
65334420252125
7611234310101
oct132720241365
934438826788
1012201313013
1151a136106a
122446241045
1311c5a8b656
1483a662901
154b6288cc8
hex2d74142f5

12201313013 has 2 divisors, whose sum is σ = 12201313014. Its totient is φ = 12201313012.

The previous prime is 12201312997. The next prime is 12201313027. The reversal of 12201313013 is 31031310221.

12201313013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10797911569 + 1403401444 = 103913^2 + 37462^2 .

It is a cyclic number.

It is not a de Polignac number, because 12201313013 - 24 = 12201312997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12201312982 and 12201313000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12201313073) 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 as a sum of consecutive naturals, namely, 6100656506 + 6100656507.

It is an arithmetic number, because the mean of its divisors is an integer number (6100656507).

Almost surely, 212201313013 is an apocalyptic number.

It is an amenable number.

12201313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201313013 is an equidigital number, since it uses as much as digits as its factorization.

12201313013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12201313013 its reverse (31031310221), we get a palindrome (43232623234).

The spelling of 12201313013 in words is "twelve billion, two hundred one million, three hundred thirteen thousand, thirteen".