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10199 = 73147
BaseRepresentation
bin10011111010111
3111222202
42133113
5311244
6115115
741510
oct23727
914882
1010199
117732
125a9b
134847
143a07
15304e
hex27d7

10199 has 8 divisors (see below), whose sum is σ = 12288. Its totient is φ = 8280.

The previous prime is 10193. The next prime is 10211. The reversal of 10199 is 99101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10199 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 10199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194 + ... + 240.

It is an arithmetic number, because the mean of its divisors is an integer number (1536).

210199 is an apocalyptic number.

10199 is a deficient number, since it is larger than the sum of its proper divisors (2089).

10199 is an equidigital number, since it uses as much as digits as its factorization.

10199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85.

The product of its (nonzero) digits is 81, while the sum is 20.

The square root of 10199 is about 100.9900985246. The cubic root of 10199 is about 21.6863201029.

It can be divided in two parts, 101 and 99, that multiplied together give a palindrome (9999).

The spelling of 10199 in words is "ten thousand, one hundred ninety-nine".

Divisors: 1 7 31 47 217 329 1457 10199