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13124593 is a prime number
BaseRepresentation
bin110010000100…
…001111110001
3220200210120001
4302010033301
511324441333
61145150001
7216362056
oct62041761
926623501
1013124593
117454779
12448b301
132946b41
141a5902d
151243b7d
hexc843f1

13124593 has 2 divisors, whose sum is σ = 13124594. Its totient is φ = 13124592.

The previous prime is 13124543. The next prime is 13124621. The reversal of 13124593 is 39542131.

It is an a-pointer prime, because the next prime (13124621) can be obtained adding 13124593 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13017664 + 106929 = 3608^2 + 327^2 .

It is an emirp because it is prime and its reverse (39542131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13124593 - 29 = 13124081 is a prime.

It is not a weakly prime, because it can be changed into another prime (13124533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6562296 + 6562297.

It is an arithmetic number, because the mean of its divisors is an integer number (6562297).

Almost surely, 213124593 is an apocalyptic number.

It is an amenable number.

13124593 is a deficient number, since it is larger than the sum of its proper divisors (1).

13124593 is an equidigital number, since it uses as much as digits as its factorization.

13124593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3240, while the sum is 28.

The square root of 13124593 is about 3622.7880147754. The cubic root of 13124593 is about 235.8822607666.

The spelling of 13124593 in words is "thirteen million, one hundred twenty-four thousand, five hundred ninety-three".