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13009823 is a prime number
BaseRepresentation
bin110001101000…
…001110011111
3220110222010022
4301220032133
511312303243
61142502355
7215403341
oct61501637
926428108
1013009823
117386522
1244349bb
132906828
141a29291
15121eb68
hexc6839f

13009823 has 2 divisors, whose sum is σ = 13009824. Its totient is φ = 13009822.

The previous prime is 13009817. The next prime is 13009901. The reversal of 13009823 is 32890031.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13009823 - 24 = 13009807 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13009792 and 13009801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13009123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6504911 + 6504912.

It is an arithmetic number, because the mean of its divisors is an integer number (6504912).

Almost surely, 213009823 is an apocalyptic number.

13009823 is a deficient number, since it is larger than the sum of its proper divisors (1).

13009823 is an equidigital number, since it uses as much as digits as its factorization.

13009823 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 13009823 is about 3606.9132232423. The cubic root of 13009823 is about 235.1926773504.

Adding to 13009823 its reverse (32890031), we get a palindrome (45899854).

The spelling of 13009823 in words is "thirteen million, nine thousand, eight hundred twenty-three".