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10033 = 79127
BaseRepresentation
bin10011100110001
3111202121
42130301
5310113
6114241
741152
oct23461
914677
1010033
1175a1
125981
13474a
143929
152e8d
hex2731

10033 has 4 divisors (see below), whose sum is σ = 10240. Its totient is φ = 9828.

The previous prime is 10009. The next prime is 10037. The reversal of 10033 is 33001.

Adding to 10033 its reverse (33001), we get a palindrome (43034).

It is a happy number.

10033 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 a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 33001 = 61541.

It is a cyclic number.

It is not a de Polignac number, because 10033 - 29 = 9521 is a prime.

It is a super-2 number, since 2×100332 = 201322178, which contains 22 as substring.

It is a Duffinian number.

10033 is a modest number, since divided by 33 gives 1 as remainder.

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 9998 and 10025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10037) 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, 16 + ... + 142.

It is an arithmetic number, because the mean of its divisors is an integer number (2560).

210033 is an apocalyptic number.

It is an amenable number.

10033 is a deficient number, since it is larger than the sum of its proper divisors (207).

10033 is an equidigital number, since it uses as much as digits as its factorization.

10033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206.

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 10033 is about 100.1648640991. The cubic root of 10033 is about 21.5680196609.

The spelling of 10033 in words is "ten thousand, thirty-three".

Divisors: 1 79 127 10033