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203105 = 572829
BaseRepresentation
bin110001100101100001
3101022121102
4301211201
522444410
64204145
71504100
oct614541
9338542
10203105
11129661
1299655
13715a6
1454037
15402a5
hex31961

203105 has 12 divisors (see below), whose sum is σ = 283860. Its totient is φ = 139104.

The previous prime is 203057. The next prime is 203117. The reversal of 203105 is 501302.

It can be written as a sum of positive squares in 2 ways, for example, as 94864 + 108241 = 308^2 + 329^2 .

It is a de Polignac number, because none of the positive numbers 2k-203105 is a prime.

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 203105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170 + ... + 659.

It is an arithmetic number, because the mean of its divisors is an integer number (23655).

2203105 is an apocalyptic number.

It is an amenable number.

203105 is a deficient number, since it is larger than the sum of its proper divisors (80755).

203105 is an equidigital number, since it uses as much as digits as its factorization.

203105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 841 counting only the distinct ones).

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

The square root of 203105 is about 450.6717208790. The cubic root of 203105 is about 58.7814378294.

Adding to 203105 its reverse (501302), we get a palindrome (704407).

It can be divided in two parts, 20 and 3105, that added together give a 5-th power (3125 = 55).

The spelling of 203105 in words is "two hundred three thousand, one hundred five".

Divisors: 1 5 7 35 49 245 829 4145 5803 29015 40621 203105