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13003047 = 322934931
BaseRepresentation
bin110001100110…
…100100100111
3220110121211100
4301212210213
511312044142
61142411143
7215344521
oct61464447
926417740
1013003047
117381422
124430ab3
132903715
141a26a11
15121cb4c
hexc66927

13003047 has 12 divisors (see below), whose sum is σ = 18850104. Its totient is φ = 8637360.

The previous prime is 13003037. The next prime is 13003051. The reversal of 13003047 is 74030031.

13003047 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13003047 - 28 = 13002791 is a prime.

It is a super-3 number, since 3×130030473 (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 (13003007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172 + ... + 5102.

It is an arithmetic number, because the mean of its divisors is an integer number (1570842).

Almost surely, 213003047 is an apocalyptic number.

13003047 is a deficient number, since it is larger than the sum of its proper divisors (5847057).

13003047 is a wasteful number, since it uses less digits than its factorization.

13003047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5230 (or 5227 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 13003047 is about 3605.9737935820. The cubic root of 13003047 is about 235.1518378929.

Adding to 13003047 its reverse (74030031), we get a palindrome (87033078).

The spelling of 13003047 in words is "thirteen million, three thousand, forty-seven".

Divisors: 1 3 9 293 879 2637 4931 14793 44379 1444783 4334349 13003047