Search a number
-
+
10201221 = 34125941
BaseRepresentation
bin100110111010…
…100010000101
3201012021110000
4212322202011
510102414341
61002351513
7152465112
oct46724205
921167400
1010201221
115838368
1234bb599
132162334
1414d7909
15d678b6
hex9ba885

10201221 has 10 divisors (see below), whose sum is σ = 15238982. Its totient is φ = 6800760.

The previous prime is 10201211. The next prime is 10201229. The reversal of 10201221 is 12210201.

It can be written as a sum of positive squares in only one way, i.e., 10150596 + 50625 = 3186^2 + 225^2 .

It is not a de Polignac number, because 10201221 - 29 = 10200709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 62890 + ... + 63051.

Almost surely, 210201221 is an apocalyptic number.

It is an amenable number.

10201221 is a deficient number, since it is larger than the sum of its proper divisors (5037761).

10201221 is an equidigital number, since it uses as much as digits as its factorization.

10201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125953 (or 125944 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10201221 is about 3193.9350337789. The cubic root of 10201221 is about 216.8789417295.

Adding to 10201221 its reverse (12210201), we get a palindrome (22411422).

The spelling of 10201221 in words is "ten million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 27 81 125941 377823 1133469 3400407 10201221