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13299 = 3111331
BaseRepresentation
bin11001111110011
3200020120
43033303
5411144
6141323
753526
oct31763
920216
1013299
119aa0
127843
136090
144bbd
153e19
hex33f3

13299 has 16 divisors (see below), whose sum is σ = 21504. Its totient is φ = 7200.

The previous prime is 13297. The next prime is 13309. The reversal of 13299 is 99231.

It is a happy number.

13299 is nontrivially palindromic in base 2 and base 4.

It is not a de Polignac number, because 13299 - 21 = 13297 is a prime.

It is a plaindrome in base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414 + ... + 444.

It is an arithmetic number, because the mean of its divisors is an integer number (1344).

13299 is the 62-nd nonagonal number.

13299 is a deficient number, since it is larger than the sum of its proper divisors (8205).

13299 is a wasteful number, since it uses less digits than its factorization.

13299 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58.

The product of its digits is 486, while the sum is 24.

The square root of 13299 is about 115.3212903154. The cubic root of 13299 is about 23.6922512010.

It can be divided in two parts, 132 and 99, that added together give a triangular number (231 = T21).

The spelling of 13299 in words is "thirteen thousand, two hundred ninety-nine".

Divisors: 1 3 11 13 31 33 39 93 143 341 403 429 1023 1209 4433 13299