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10012 = 222503
BaseRepresentation
bin10011100011100
3111201211
42130130
5310022
6114204
741122
oct23434
914654
1010012
117582
125964
134732
143912
152e77
hex271c

10012 has 6 divisors (see below), whose sum is σ = 17528. Its totient is φ = 5004.

The previous prime is 10009. The next prime is 10037. The reversal of 10012 is 21001.

10012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

10012 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (4), and also a Moran number because the ratio is a prime number: 2503 = 10012 / (1 + 0 + 0 + 1 + 2).

It is a pancake number, because a pancake can be divided into 10012 parts by 141 straight cuts.

It is a junction number, because it is equal to n+sod(n) for n = 9983 and 10010.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 1248 + ... + 1255.

210012 is an apocalyptic number.

It is an amenable number.

10012 is a deficient number, since it is larger than the sum of its proper divisors (7516).

10012 is a wasteful number, since it uses less digits than its factorization.

10012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 10012 is about 100.0599820108. The cubic root of 10012 is about 21.5529611943.

Adding to 10012 its reverse (21001), we get a palindrome (31013).

Multiplying 10012 by its reverse (21001), we get a palindrome (210262012).

It can be divided in two parts, 1001 and 2, that multiplied together give a palindrome (2002).

The spelling of 10012 in words is "ten thousand, twelve", and thus it is an iban number.

Divisors: 1 2 4 2503 5006 10012