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10303301 = 19228541
BaseRepresentation
bin100111010011…
…011101000101
3201101110110202
4213103131011
510114201201
61004500245
7153401531
oct47233505
921343422
1010303301
1158a8028
12354a685
132199938
141522bc1
15d87c6b
hex9d3745

10303301 has 6 divisors (see below), whose sum is σ = 10874502. Its totient is φ = 9760680.

The previous prime is 10303291. The next prime is 10303331. The reversal of 10303301 is 10330301.

It can be written as a sum of positive squares in only one way, i.e., 7695076 + 2608225 = 2774^2 + 1615^2 .

It is not a de Polignac number, because 10303301 - 222 = 6108997 is a prime.

It is a super-3 number, since 3×103033013 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10303331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13910 + ... + 14631.

It is an arithmetic number, because the mean of its divisors is an integer number (1812417).

Almost surely, 210303301 is an apocalyptic number.

10303301 is the 1436-th centered decagonal number.

It is an amenable number.

10303301 is a deficient number, since it is larger than the sum of its proper divisors (571201).

10303301 is an equidigital number, since it uses as much as digits as its factorization.

10303301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28579 (or 28560 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 10303301 is about 3209.8755427586. The cubic root of 10303301 is about 217.5999522982.

Adding to 10303301 its reverse (10330301), we get a palindrome (20633602).

Subtracting 10303301 from its reverse (10330301), we obtain a cube (27000 = 303).

The spelling of 10303301 in words is "ten million, three hundred three thousand, three hundred one".

Divisors: 1 19 361 28541 542279 10303301