Search a number
-
+
12986610317 is a prime number
BaseRepresentation
bin11000001100000111…
…11111001010001101
31020112001121011021022
430012003333022031
5203044033012232
65544352043525
7636551236442
oct140603771215
936461534238
1012986610317
11556466a5aa
1226252335a5
1312bc694305
148b2a819c9
155101a9812
hex3060ff28d

12986610317 has 2 divisors, whose sum is σ = 12986610318. Its totient is φ = 12986610316.

The previous prime is 12986610293. The next prime is 12986610341. The reversal of 12986610317 is 71301668921.

12986610317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (12986610293) and next prime (12986610341).

It can be written as a sum of positive squares in only one way, i.e., 11901500836 + 1085109481 = 109094^2 + 32941^2 .

It is a cyclic number.

It is not a de Polignac number, because 12986610317 - 28 = 12986610061 is a prime.

It is a super-2 number, since 2×129866103172 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12986600317) 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, 6493305158 + 6493305159.

It is an arithmetic number, because the mean of its divisors is an integer number (6493305159).

Almost surely, 212986610317 is an apocalyptic number.

It is an amenable number.

12986610317 is a deficient number, since it is larger than the sum of its proper divisors (1).

12986610317 is an equidigital number, since it uses as much as digits as its factorization.

12986610317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 44.

The spelling of 12986610317 in words is "twelve billion, nine hundred eighty-six million, six hundred ten thousand, three hundred seventeen".