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13334121405 = 3251175135869
BaseRepresentation
bin11000110101100011…
…01000101110111101
31021102021111112212100
430122301220232331
5204302013341110
610043044255313
7651301106343
oct143261505675
937367445770
1013334121405
115722844850
1227016a1539
131346688687
14906ca1993
15530950bc0
hex31ac68bbd

13334121405 has 48 divisors (see below), whose sum is σ = 25247888640. Its totient is φ = 6456240000.

The previous prime is 13334121403. The next prime is 13334121469. The reversal of 13334121405 is 50412143331.

It is a happy number.

13334121405 is a `hidden beast` number, since 133 + 3 + 4 + 121 + 405 = 666.

It is not a de Polignac number, because 13334121405 - 21 = 13334121403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13334121403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353811 + ... + 389679.

It is an arithmetic number, because the mean of its divisors is an integer number (525997680).

Almost surely, 213334121405 is an apocalyptic number.

13334121405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13334121405 is a deficient number, since it is larger than the sum of its proper divisors (11913767235).

13334121405 is a wasteful number, since it uses less digits than its factorization.

13334121405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36642 (or 36639 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13334121405 its reverse (50412143331), we get a palindrome (63746264736).

The spelling of 13334121405 in words is "thirteen billion, three hundred thirty-four million, one hundred twenty-one thousand, four hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 751 2253 3755 6759 8261 11265 24783 33795 35869 41305 74349 107607 123915 179345 322821 371745 394559 538035 1183677 1614105 1972795 3551031 5918385 17755155 26937619 80812857 134688095 242438571 296313809 404064285 888941427 1212192855 1481569045 2666824281 4444707135 13334121405