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11310330105 = 34527926741
BaseRepresentation
bin10101000100010010…
…11111000011111001
31002012020101022010000
422202021133003321
5141130421030410
65110151343213
7550165135224
oct124211370371
932166338100
1011310330105
114884428458
122237981b09
1310b3301329
147941b25bb
15462e3ddc0
hex2a225f0f9

11310330105 has 20 divisors (see below), whose sum is σ = 20274814692. Its totient is φ = 6032175840.

The previous prime is 11310330091. The next prime is 11310330133. The reversal of 11310330105 is 50103301311.

11310330105 is a `hidden beast` number, since 11 + 310 + 330 + 10 + 5 = 666.

11310330105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5467715136 + 5842614969 = 73944^2 + 76437^2 .

It is not a de Polignac number, because 11310330105 - 219 = 11309805817 is a prime.

It is a super-2 number, since 2×113103301052 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13962966 + ... + 13963775.

Almost surely, 211310330105 is an apocalyptic number.

11310330105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11310330105 is a deficient number, since it is larger than the sum of its proper divisors (8964484587).

11310330105 is an equidigital number, since it uses as much as digits as its factorization.

11310330105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27926758 (or 27926749 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

Adding to 11310330105 its reverse (50103301311), we get a palindrome (61413631416).

The spelling of 11310330105 in words is "eleven billion, three hundred ten million, three hundred thirty thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 27926741 83780223 139633705 251340669 418901115 754022007 1256703345 2262066021 3770110035 11310330105