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13137823 is a prime number
BaseRepresentation
bin110010000111…
…011110011111
3220201110201001
4302013132133
511330402243
61145331131
7216445456
oct62073637
926643631
1013137823
117463706
124496aa7
13294cb7a
141a5db9d
151247a4d
hexc8779f

13137823 has 2 divisors, whose sum is σ = 13137824. Its totient is φ = 13137822.

The previous prime is 13137791. The next prime is 13137847. The reversal of 13137823 is 32873131.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13137823 - 25 = 13137791 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13137791 and 13137800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13135823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6568911 + 6568912.

It is an arithmetic number, because the mean of its divisors is an integer number (6568912).

Almost surely, 213137823 is an apocalyptic number.

13137823 is a deficient number, since it is larger than the sum of its proper divisors (1).

13137823 is an equidigital number, since it uses as much as digits as its factorization.

13137823 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 28.

The square root of 13137823 is about 3624.6134966366. The cubic root of 13137823 is about 235.9614930470.

The spelling of 13137823 in words is "thirteen million, one hundred thirty-seven thousand, eight hundred twenty-three".