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10523 = 17619
BaseRepresentation
bin10100100011011
3112102202
42210123
5314043
6120415
742452
oct24433
915382
1010523
1179a7
12610b
134a36
143b99
1531b8
hex291b

10523 has 4 divisors (see below), whose sum is σ = 11160. Its totient is φ = 9888.

The previous prime is 10513. The next prime is 10529. The reversal of 10523 is 32501.

10523 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 32501 = 74643.

It is a cyclic number.

It is not a de Polignac number, because 10523 - 26 = 10459 is a prime.

It is a super-2 number, since 2×105232 = 221467058, which contains 22 as substring.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 293 + ... + 326.

It is an arithmetic number, because the mean of its divisors is an integer number (2790).

210523 is an apocalyptic number.

10523 is a deficient number, since it is larger than the sum of its proper divisors (637).

10523 is an equidigital number, since it uses as much as digits as its factorization.

10523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636.

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 10523 is about 102.5816747767. The cubic root of 10523 is about 21.9135727600.

It can be divided in two parts, 105 and 23, that multiplied together give a triangular number (2415 = T69).

The spelling of 10523 in words is "ten thousand, five hundred twenty-three".

Divisors: 1 17 619 10523