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13003314 = 234152859
BaseRepresentation
bin110001100110…
…101000110010
3220110122012020
4301212220302
511312101224
61142412310
7215345352
oct61465062
926418166
1013003314
117381645
124431096
13290388c
141a26b62
15121cc79
hexc66a32

13003314 has 16 divisors (see below), whose sum is σ = 26641440. Its totient is φ = 4228640.

The previous prime is 13003313. The next prime is 13003363. The reversal of 13003314 is 41330031.

It is a junction number, because it is equal to n+sod(n) for n = 13003293 and 13003302.

It is not an unprimeable number, because it can be changed into a prime (13003313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26184 + ... + 26675.

It is an arithmetic number, because the mean of its divisors is an integer number (1665090).

Almost surely, 213003314 is an apocalyptic number.

13003314 is an abundant number, since it is smaller than the sum of its proper divisors (13638126).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13003314 is a wasteful number, since it uses less digits than its factorization.

13003314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52905.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 13003314 is about 3606.0108152916. The cubic root of 13003314 is about 235.1534473903.

Adding to 13003314 its reverse (41330031), we get a palindrome (54333345).

The spelling of 13003314 in words is "thirteen million, three thousand, three hundred fourteen".

Divisors: 1 2 3 6 41 82 123 246 52859 105718 158577 317154 2167219 4334438 6501657 13003314