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13000523 = 33193917
BaseRepresentation
bin110001100101…
…111101001011
3220110111100212
4301211331023
511312004043
61142351335
7215334254
oct61457513
926414325
1013000523
11737a538
12442b54b
132902523
141a25b2b
15121c018
hexc65f4b

13000523 has 4 divisors (see below), whose sum is σ = 13007760. Its totient is φ = 12993288.

The previous prime is 13000511. The next prime is 13000553. The reversal of 13000523 is 32500031.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13000523 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13000498 and 13000507.

It is not an unprimeable number, because it can be changed into a prime (13000553) 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, 1361 + ... + 5277.

It is an arithmetic number, because the mean of its divisors is an integer number (3251940).

Almost surely, 213000523 is an apocalyptic number.

13000523 is a deficient number, since it is larger than the sum of its proper divisors (7237).

13000523 is an equidigital number, since it uses as much as digits as its factorization.

13000523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7236.

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 13000523 is about 3605.6238017852. The cubic root of 13000523 is about 235.1366219299.

Adding to 13000523 its reverse (32500031), we get a palindrome (45500554).

The spelling of 13000523 in words is "thirteen million, five hundred twenty-three", and thus it is an aban number.

Divisors: 1 3319 3917 13000523