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10241 = 721119
BaseRepresentation
bin10100000000001
3112001022
42200001
5311431
6115225
741600
oct24001
915038
1010241
117770
125b15
13487a
143a37
15307b
hex2801

10241 has 12 divisors (see below), whose sum is σ = 13680. Its totient is φ = 7560.

The previous prime is 10223. The next prime is 10243. The reversal of 10241 is 14201.

Adding to 10241 its reverse (14201), we get a palindrome (24442).

10241 = 83 + 93 + ... + 143.

10241 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cullen number, since it is equal to 10×210+1.

It is not a de Polignac number, because 10241 - 26 = 10177 is a prime.

It is a Curzon number.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (10243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 530 + ... + 548.

It is an arithmetic number, because the mean of its divisors is an integer number (1140).

It is a Proth number, since it is equal to 5 ⋅ 211 + 1 and 5 < 211.

210241 is an apocalyptic number.

10241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10241 is a deficient number, since it is larger than the sum of its proper divisors (3439).

10241 is a wasteful number, since it uses less digits than its factorization.

10241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 10241 is about 101.1978260636. The cubic root of 10241 is about 21.7160477893.

The spelling of 10241 in words is "ten thousand, two hundred forty-one", and thus it is an iban number.

Divisors: 1 7 11 19 49 77 133 209 539 931 1463 10241