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11313333 = 322694673
BaseRepresentation
bin101011001010…
…000010110101
3210021202222100
4223022002311
510344011313
61042252313
7165106323
oct53120265
923252870
1011313333
116427969
123957099
1324615a5
141706d13
15ed7173
hexaca0b5

11313333 has 12 divisors (see below), whose sum is σ = 16405740. Its totient is φ = 7512576.

The previous prime is 11313331. The next prime is 11313371. The reversal of 11313333 is 33331311.

It can be written as a sum of positive squares in 2 ways, for example, as 5963364 + 5349969 = 2442^2 + 2313^2 .

It is not a de Polignac number, because 11313333 - 21 = 11313331 is a prime.

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

11313333 is a modest number, since divided by 3333 gives 1131 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313331) 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 11 ways as a sum of consecutive naturals, for example, 85 + ... + 4757.

It is an arithmetic number, because the mean of its divisors is an integer number (1367145).

Almost surely, 211313333 is an apocalyptic number.

It is an amenable number.

11313333 is a deficient number, since it is larger than the sum of its proper divisors (5092407).

11313333 is a wasteful number, since it uses less digits than its factorization.

11313333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4948 (or 4945 counting only the distinct ones).

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

The square root of 11313333 is about 3363.5298422937. The cubic root of 11313333 is about 224.4899260199.

Adding to 11313333 its reverse (33331311), we get a palindrome (44644644).

The spelling of 11313333 in words is "eleven million, three hundred thirteen thousand, three hundred thirty-three".

Divisors: 1 3 9 269 807 2421 4673 14019 42057 1257037 3771111 11313333