Search a number
-
+
13334013 = 3271171271
BaseRepresentation
bin110010110111…
…010111111101
3221002102211100
4302313113331
511403142023
61153443313
7221223450
oct62672775
927072740
1013334013
117588050
124570539
1329bb264
141ab1497
151285c43
hexcb75fd

13334013 has 48 divisors (see below), whose sum is σ = 24440832. Its totient is φ = 6804000.

The previous prime is 13334011. The next prime is 13334017. The reversal of 13334013 is 31043331.

13334013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13334013 - 21 = 13334011 is a prime.

It is a super-3 number, since 3×133340133 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13334011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49068 + ... + 49338.

It is an arithmetic number, because the mean of its divisors is an integer number (509184).

Almost surely, 213334013 is an apocalyptic number.

It is an amenable number.

13334013 is a deficient number, since it is larger than the sum of its proper divisors (11106819).

13334013 is a wasteful number, since it uses less digits than its factorization.

13334013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 13334013 is about 3651.5767827063. The cubic root of 13334013 is about 237.1302494006.

Adding to 13334013 its reverse (31043331), we get a palindrome (44377344).

The spelling of 13334013 in words is "thirteen million, three hundred thirty-four thousand, thirteen".

Divisors: 1 3 7 9 11 21 33 63 71 77 99 213 231 271 497 639 693 781 813 1491 1897 2343 2439 2981 4473 5467 5691 7029 8943 16401 17073 19241 20867 26829 49203 57723 62601 134687 173169 187803 211651 404061 634953 1212183 1481557 1904859 4444671 13334013