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313301334330 = 232511257309241
BaseRepresentation
bin1001000111100100011…
…01101111100100111010
31002221200111201211012100
410203302031233210322
520113120120144310
6355532330524230
731430620254615
oct4436215574472
91087614654170
10313301334330
11110963487696
1250877b96676
132370c77783a
141124190b17c
15823a2d4ec0
hex48f236f93a

313301334330 has 48 divisors (see below), whose sum is σ = 814658466024. Its totient is φ = 83539330560.

The previous prime is 313301334287. The next prime is 313301334383. The reversal of 313301334330 is 33433103313.

313301334330 is a `hidden beast` number, since 3 + 13 + 301 + 3 + 343 + 3 + 0 = 666.

313301334330 is digitally balanced in base 7, 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 4 ways, for example, as 283450824801 + 29850509529 = 532401^2 + 172773^2 .

It is a junction number, because it is equal to n+sod(n) for n = 313301334294 and 313301334303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 858510 + ... + 1167750.

Almost surely, 2313301334330 is an apocalyptic number.

313301334330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

313301334330 is an abundant number, since it is smaller than the sum of its proper divisors (501357131694).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313301334330 is a wasteful number, since it uses less digits than its factorization.

313301334330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320511 (or 320508 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 313301334330 its reverse (33433103313), we get a palindrome (346734437643).

The spelling of 313301334330 in words is "three hundred thirteen billion, three hundred one million, three hundred thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 11257 22514 33771 56285 67542 101313 112570 168855 202626 309241 337710 506565 618482 927723 1013130 1546205 1855446 2783169 3092410 4638615 5566338 9277230 13915845 27831690 3481125937 6962251874 10443377811 17405629685 20886755622 31330133433 34811259370 52216889055 62660266866 104433778110 156650667165 313301334330