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103201 = 723641
BaseRepresentation
bin11001001100100001
312020120021
4121030201
511300301
62113441
7606610
oct311441
9166507
10103201
117059a
124b881
1337c87
1429877
15208a1
hex19321

103201 has 8 divisors (see below), whose sum is σ = 123264. Its totient is φ = 84480.

The previous prime is 103183. The next prime is 103217. The reversal of 103201 is 102301.

103201 = T83 + T84 + ... + T105.

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

It is a cyclic number.

It is not a de Polignac number, because 103201 - 213 = 95009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103231) 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 7 ways as a sum of consecutive naturals, for example, 160 + ... + 481.

It is an arithmetic number, because the mean of its divisors is an integer number (15408).

2103201 is an apocalyptic number.

103201 is the 161-st decagonal number.

It is an amenable number.

103201 is a deficient number, since it is larger than the sum of its proper divisors (20063).

103201 is an equidigital number, since it uses as much as digits as its factorization.

103201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 103201 is about 321.2491245124. The cubic root of 103201 is about 46.9059534816.

Adding to 103201 its reverse (102301), we get a palindrome (205502).

Subtracting from 103201 its reverse (102301), we obtain a square (900 = 302).

The spelling of 103201 in words is "one hundred three thousand, two hundred one", and thus it is an iban number.

Divisors: 1 7 23 161 641 4487 14743 103201