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13124 = 2217193
BaseRepresentation
bin11001101000100
3200000002
43031010
5404444
6140432
753156
oct31504
920002
1013124
119951
127718
135c87
144ad6
153d4e
hex3344

13124 has 12 divisors (see below), whose sum is σ = 24444. Its totient is φ = 6144.

The previous prime is 13121. The next prime is 13127. The reversal of 13124 is 42131.

13124 = T9 + T10 + ... + T42.

It is a happy number.

13124 is nontrivially palindromic in base 3 and base 9.

It is an interprime number because it is at equal distance from previous prime (13121) and next prime (13127).

It can be written as a sum of positive squares in 2 ways, for example, as 6724 + 6400 = 82^2 + 80^2 .

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29 + ... + 164.

It is an arithmetic number, because the mean of its divisors is an integer number (2037).

213124 is an apocalyptic number.

It is an amenable number.

13124 is a deficient number, since it is larger than the sum of its proper divisors (11320).

13124 is a wasteful number, since it uses less digits than its factorization.

13124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 212 counting only the distinct ones).

The product of its digits is 24, while the sum is 11.

The square root of 13124 is about 114.5600279330. The cubic root of 13124 is about 23.5878708141.

Adding to 13124 its reverse (42131), we get a palindrome (55255).

It can be divided in two parts, 1 and 3124, that added together give a 5-th power (3125 = 55).

The spelling of 13124 in words is "thirteen thousand, one hundred twenty-four".

Divisors: 1 2 4 17 34 68 193 386 772 3281 6562 13124