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12702071617 is a prime number
BaseRepresentation
bin10111101010001101…
…00011101101000001
31012210020012002112221
423311012203231001
5202003212242432
65500225251041
7626524553524
oct136506435501
935706162487
1012702071617
115428a96454
122565a93a81
13127574ab11
14886d74bbb
154e5201b97
hex2f51a3b41

12702071617 has 2 divisors, whose sum is σ = 12702071618. Its totient is φ = 12702071616.

The previous prime is 12702071597. The next prime is 12702071633. The reversal of 12702071617 is 71617020721.

12702071617 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., 12054063681 + 648007936 = 109791^2 + 25456^2 .

It is an emirp because it is prime and its reverse (71617020721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12702071617 - 27 = 12702071489 is a prime.

It is a super-2 number, since 2×127020716172 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12702071677) 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, 6351035808 + 6351035809.

It is an arithmetic number, because the mean of its divisors is an integer number (6351035809).

Almost surely, 212702071617 is an apocalyptic number.

It is an amenable number.

12702071617 is a deficient number, since it is larger than the sum of its proper divisors (1).

12702071617 is an equidigital number, since it uses as much as digits as its factorization.

12702071617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8232, while the sum is 34.

The spelling of 12702071617 in words is "twelve billion, seven hundred two million, seventy-one thousand, six hundred seventeen".