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12417131357 is a prime number
BaseRepresentation
bin10111001000001111…
…00110001101011101
31012001101000121222222
423210013212031131
5200412241200412
65412050115125
7616464606101
oct134407461535
935041017888
1012417131357
1152a2168634
1224a657baa5
13122b6c3907
1485b1a1901
154ca1ba072
hex2e41e635d

12417131357 has 2 divisors, whose sum is σ = 12417131358. Its totient is φ = 12417131356.

The previous prime is 12417131317. The next prime is 12417131359. The reversal of 12417131357 is 75313171421.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12414193561 + 2937796 = 111419^2 + 1714^2 .

It is a cyclic number.

It is not a de Polignac number, because 12417131357 - 210 = 12417130333 is a prime.

It is a super-2 number, since 2×124171313572 (a number of 21 digits) contains 22 as substring.

Together with 12417131359, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12417131359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6208565678 + 6208565679.

It is an arithmetic number, because the mean of its divisors is an integer number (6208565679).

Almost surely, 212417131357 is an apocalyptic number.

It is an amenable number.

12417131357 is a deficient number, since it is larger than the sum of its proper divisors (1).

12417131357 is an equidigital number, since it uses as much as digits as its factorization.

12417131357 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17640, while the sum is 35.

The spelling of 12417131357 in words is "twelve billion, four hundred seventeen million, one hundred thirty-one thousand, three hundred fifty-seven".