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11305404105 = 353124312697
BaseRepresentation
bin10101000011101101…
…01100011011001001
31002011220010000220120
422201312230123021
5141123140412410
65105454013453
7550105230552
oct124166543311
932156100816
1011305404105
114881673486
1222361a7289
1310b2298138
1479368d329
154627b9570
hex2a1dac6c9

11305404105 has 16 divisors (see below), whose sum is σ = 18672152064. Its totient is φ = 5835047040.

The previous prime is 11305404091. The next prime is 11305404113. The reversal of 11305404105 is 50140450311.

It is a happy number.

11305404105 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 11305404105 - 220 = 11304355529 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 12155884 + ... + 12156813.

It is an arithmetic number, because the mean of its divisors is an integer number (1167009504).

Almost surely, 211305404105 is an apocalyptic number.

11305404105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11305404105 is a deficient number, since it is larger than the sum of its proper divisors (7366747959).

11305404105 is a wasteful number, since it uses less digits than its factorization.

11305404105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24312736.

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 11305404105 its reverse (50140450311), we get a palindrome (61445854416).

The spelling of 11305404105 in words is "eleven billion, three hundred five million, four hundred four thousand, one hundred five".

Divisors: 1 3 5 15 31 93 155 465 24312697 72938091 121563485 364690455 753693607 2261080821 3768468035 11305404105