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12271716517 is a prime number
BaseRepresentation
bin10110110110111001…
…11000100010100101
31011200020101210100011
423123130320202211
5200113024412032
65345413250221
7613050604114
oct133334704245
934606353304
1012271716517
115228078285
122465933971
13120753ba28
14845b4bc7b
154bc544247
hex2db7388a5

12271716517 has 2 divisors, whose sum is σ = 12271716518. Its totient is φ = 12271716516.

The previous prime is 12271716461. The next prime is 12271716521. The reversal of 12271716517 is 71561717221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12057357636 + 214358881 = 109806^2 + 14641^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12271716517 is a prime.

It is a super-2 number, since 2×122717165172 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12271716517.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12271716547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6135858258 + 6135858259.

It is an arithmetic number, because the mean of its divisors is an integer number (6135858259).

Almost surely, 212271716517 is an apocalyptic number.

It is an amenable number.

12271716517 is a deficient number, since it is larger than the sum of its proper divisors (1).

12271716517 is an equidigital number, since it uses as much as digits as its factorization.

12271716517 is an evil number, because the sum of its binary digits is even.

The product of its digits is 41160, while the sum is 40.

The spelling of 12271716517 in words is "twelve billion, two hundred seventy-one million, seven hundred sixteen thousand, five hundred seventeen".