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11333313 = 325212417
BaseRepresentation
bin101011001110…
…111011000001
3210022210101100
4223032323001
510400131223
61042525013
7165221505
oct53167301
923283340
1011333313
116440982
123966769
13246a704
141710305
15edd043
hexaceec1

11333313 has 12 divisors (see below), whose sum is σ = 16408548. Its totient is φ = 7537920.

The previous prime is 11333303. The next prime is 11333347. The reversal of 11333313 is 31333311.

It can be written as a sum of positive squares in 2 ways, for example, as 7884864 + 3448449 = 2808^2 + 1857^2 .

It is not a de Polignac number, because 11333313 - 212 = 11329217 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11333303) 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 11 ways as a sum of consecutive naturals, for example, 3481 + ... + 5897.

It is an arithmetic number, because the mean of its divisors is an integer number (1367379).

Almost surely, 211333313 is an apocalyptic number.

It is an amenable number.

11333313 is a deficient number, since it is larger than the sum of its proper divisors (5075235).

11333313 is a wasteful number, since it uses less digits than its factorization.

11333313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2941 counting only the distinct ones).

The product of its digits is 243, while the sum is 18.

The square root of 11333313 is about 3366.4986261693. The cubic root of 11333313 is about 224.6220023606.

Adding to 11333313 its reverse (31333311), we get a palindrome (42666624).

The spelling of 11333313 in words is "eleven million, three hundred thirty-three thousand, three hundred thirteen".

Divisors: 1 3 9 521 1563 2417 4689 7251 21753 1259257 3777771 11333313