Search a number
-
+
12203311313 is a prime number
BaseRepresentation
bin10110101110101111…
…11100000011010001
31011111110200110001002
423113113330003101
5144443021430223
65334531151345
7611260302044
oct132727740321
934443613032
1012203311313
1151a24a6456
122446a45555
1311c630b08b
1483aa22c5b
154b6530e28
hex2d75fc0d1

12203311313 has 2 divisors, whose sum is σ = 12203311314. Its totient is φ = 12203311312.

The previous prime is 12203311303. The next prime is 12203311333. The reversal of 12203311313 is 31311330221.

It is an a-pointer prime, because the next prime (12203311333) can be obtained adding 12203311313 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6413927569 + 5789383744 = 80087^2 + 76088^2 .

It is a cyclic number.

It is not a de Polignac number, because 12203311313 - 216 = 12203245777 is a prime.

It is not a weakly prime, because it can be changed into another prime (12203311303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6101655656 + 6101655657.

It is an arithmetic number, because the mean of its divisors is an integer number (6101655657).

Almost surely, 212203311313 is an apocalyptic number.

It is an amenable number.

12203311313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12203311313 is an equidigital number, since it uses as much as digits as its factorization.

12203311313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 12203311313 its reverse (31311330221), we get a palindrome (43514641534).

The spelling of 12203311313 in words is "twelve billion, two hundred three million, three hundred eleven thousand, three hundred thirteen".