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10993 is a prime number
BaseRepresentation
bin10101011110001
3120002011
42223301
5322433
6122521
744023
oct25361
916064
1010993
118294
126441
135008
144013
1533cd
hex2af1

10993 has 2 divisors, whose sum is σ = 10994. Its totient is φ = 10992.

The previous prime is 10987. The next prime is 11003. The reversal of 10993 is 39901.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7744 + 3249 = 88^2 + 57^2 .

It is an emirp because it is prime and its reverse (39901) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10993 - 213 = 2801 is a prime.

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

It is not a weakly prime, because it can be changed into another prime (10903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5496 + 5497.

It is an arithmetic number, because the mean of its divisors is an integer number (5497).

210993 is an apocalyptic number.

It is an amenable number.

10993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10993 is an equidigital number, since it uses as much as digits as its factorization.

10993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 22.

The square root of 10993 is about 104.8475083156. The cubic root of 10993 is about 22.2350823711.

The spelling of 10993 in words is "ten thousand, nine hundred ninety-three".