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13006323 = 3211791663
BaseRepresentation
bin110001100111…
…010111110011
3220110210022200
4301213113303
511312200243
61142434243
7215360211
oct61472763
926423280
1013006323
117383930
124432983
132905065
141a27cb1
15121dad3
hexc675f3

13006323 has 24 divisors (see below), whose sum is σ = 20766720. Its totient is φ = 7778160.

The previous prime is 13006321. The next prime is 13006327. The reversal of 13006323 is 32360031.

It is a happy number.

13006323 is a `hidden beast` number, since 1 + 30 + 0 + 632 + 3 = 666.

It is not a de Polignac number, because 13006323 - 21 = 13006321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13006296 and 13006305.

It is not an unprimeable number, because it can be changed into a prime (13006321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6990 + ... + 8652.

It is an arithmetic number, because the mean of its divisors is an integer number (865280).

Almost surely, 213006323 is an apocalyptic number.

13006323 is a deficient number, since it is larger than the sum of its proper divisors (7760397).

13006323 is a wasteful number, since it uses less digits than its factorization.

13006323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1756 counting only the distinct ones).

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

The square root of 13006323 is about 3606.4280112044. The cubic root of 13006323 is about 235.1715843604.

Adding to 13006323 its reverse (32360031), we get a palindrome (45366354).

The spelling of 13006323 in words is "thirteen million, six thousand, three hundred twenty-three".

Divisors: 1 3 9 11 33 79 99 237 711 869 1663 2607 4989 7821 14967 18293 54879 131377 164637 394131 1182393 1445147 4335441 13006323