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12584114317 is a prime number
BaseRepresentation
bin10111011100001001…
…00101100010001101
31012111000020020120001
423232010211202031
5201233013124232
65440413124301
7623563130635
oct135604454215
935430206501
1012584114317
11537844a385
122532489691
13125718a8b8
1487542b6c5
154d9ba16e7
hex2ee12588d

12584114317 has 2 divisors, whose sum is σ = 12584114318. Its totient is φ = 12584114316.

The previous prime is 12584114299. The next prime is 12584114321. The reversal of 12584114317 is 71341148521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11054209321 + 1529904996 = 105139^2 + 39114^2 .

It is an emirp because it is prime and its reverse (71341148521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12584114317 - 211 = 12584112269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12584114617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6292057158 + 6292057159.

It is an arithmetic number, because the mean of its divisors is an integer number (6292057159).

Almost surely, 212584114317 is an apocalyptic number.

It is an amenable number.

12584114317 is a deficient number, since it is larger than the sum of its proper divisors (1).

12584114317 is an equidigital number, since it uses as much as digits as its factorization.

12584114317 is an evil number, because the sum of its binary digits is even.

The product of its digits is 26880, while the sum is 37.

The spelling of 12584114317 in words is "twelve billion, five hundred eighty-four million, one hundred fourteen thousand, three hundred seventeen".