Search a number
-
+
12131314417 is a prime number
BaseRepresentation
bin10110100110001010…
…10010101011110001
31011022110012121212101
423103011102223301
5144321104030132
65323440100401
7606424320415
oct132305225361
934273177771
1012131314417
1151658a1092
122426904701
1311b4420671
14831240d45
154b005d7e7
hex2d3152af1

12131314417 has 2 divisors, whose sum is σ = 12131314418. Its totient is φ = 12131314416.

The previous prime is 12131314411. The next prime is 12131314457. The reversal of 12131314417 is 71441313121.

12131314417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10886000896 + 1245313521 = 104336^2 + 35289^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12131314417 is a prime.

It is a super-2 number, since 2×121313144172 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12131314411) 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, 6065657208 + 6065657209.

It is an arithmetic number, because the mean of its divisors is an integer number (6065657209).

Almost surely, 212131314417 is an apocalyptic number.

It is an amenable number.

12131314417 is a deficient number, since it is larger than the sum of its proper divisors (1).

12131314417 is an equidigital number, since it uses as much as digits as its factorization.

12131314417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 28.

Adding to 12131314417 its reverse (71441313121), we get a palindrome (83572627538).

The spelling of 12131314417 in words is "twelve billion, one hundred thirty-one million, three hundred fourteen thousand, four hundred seventeen".