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11282313339 = 3511334883
BaseRepresentation
bin10101000000111101…
…00111000001111011
31002010021122220100000
422200132213001323
5141101233011324
65103311044043
7546405036543
oct124036470173
932107586300
1011282313339
11486a632000
12222a510623
1310aa571c6b
1479059c323
154607579c9
hex2a07a707b

11282313339 has 48 divisors (see below), whose sum is σ = 18589544064. Its totient is φ = 6837569640.

The previous prime is 11282313337. The next prime is 11282313359. The reversal of 11282313339 is 93331328211.

It is a happy number.

11282313339 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 2 + 313 + 339 = 666.

11282313339 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11282313339 - 21 = 11282313337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11282313337) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 305992 + ... + 340874.

It is an arithmetic number, because the mean of its divisors is an integer number (387282168).

Almost surely, 211282313339 is an apocalyptic number.

11282313339 is a deficient number, since it is larger than the sum of its proper divisors (7307230725).

11282313339 is an frugal number, since it uses more digits than its factorization.

11282313339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34931 (or 34897 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The spelling of 11282313339 in words is "eleven billion, two hundred eighty-two million, three hundred thirteen thousand, three hundred thirty-nine".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 891 1089 1331 2673 3267 3993 9801 11979 29403 34883 35937 104649 107811 313947 323433 383713 941841 1151139 2825523 3453417 4220843 8476569 10360251 12662529 31080753 37987587 46429273 93242259 113962761 139287819 341888283 417863457 1025664849 1253590371 3760771113 11282313339