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12117287393 is a prime number
BaseRepresentation
bin10110100100011111…
…10010000111100001
31011021110210222101222
423102033302013201
5144304011144033
65322215304425
7606164146331
oct132217620741
934243728358
1012117287393
115158990402
12242207b115
1311b154bb53
1482d42d0c1
154adbdc598
hex2d23f21e1

12117287393 has 2 divisors, whose sum is σ = 12117287394. Its totient is φ = 12117287392.

The previous prime is 12117287341. The next prime is 12117287407. The reversal of 12117287393 is 39378271121.

12117287393 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., 9684134464 + 2433152929 = 98408^2 + 49327^2 .

It is a cyclic number.

It is not a de Polignac number, because 12117287393 - 220 = 12116238817 is a prime.

It is not a weakly prime, because it can be changed into another prime (12117287293) 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, 6058643696 + 6058643697.

It is an arithmetic number, because the mean of its divisors is an integer number (6058643697).

Almost surely, 212117287393 is an apocalyptic number.

It is an amenable number.

12117287393 is a deficient number, since it is larger than the sum of its proper divisors (1).

12117287393 is an equidigital number, since it uses as much as digits as its factorization.

12117287393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 127008, while the sum is 44.

It can be divided in two parts, 1211728 and 7393, that added together give a palindrome (1219121).

The spelling of 12117287393 in words is "twelve billion, one hundred seventeen million, two hundred eighty-seven thousand, three hundred ninety-three".