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2132205352305 = 35732318018383
BaseRepresentation
bin11111000001110001010…
…101111011010101110001
321112211121001112121012220
4133001301111323111301
5234413224032233210
64311304400311253
7310022015313000
oct37016125732561
97484531477186
102132205352305
11752299375826
122a529b312529
131260b22c27a2
14752b0bcac37
153a6e4768c70
hex1f07157b571

2132205352305 has 64 divisors (see below), whose sum is σ = 4151435673600. Its totient is φ = 932343158208.

The previous prime is 2132205352261. The next prime is 2132205352393. The reversal of 2132205352305 is 5032535022312.

It is not a de Polignac number, because 2132205352305 - 211 = 2132205350257 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8890857 + ... + 9127526.

It is an arithmetic number, because the mean of its divisors is an integer number (64866182400).

Almost surely, 22132205352305 is an apocalyptic number.

It is an amenable number.

2132205352305 is a deficient number, since it is larger than the sum of its proper divisors (2019230321295).

2132205352305 is a wasteful number, since it uses less digits than its factorization.

2132205352305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18018435 (or 18018421 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

The spelling of 2132205352305 in words is "two trillion, one hundred thirty-two billion, two hundred five million, three hundred fifty-two thousand, three hundred five".

Divisors: 1 3 5 7 15 21 23 35 49 69 105 115 147 161 245 343 345 483 735 805 1029 1127 1715 2415 3381 5145 5635 7889 16905 23667 39445 118335 18018383 54055149 90091915 126128681 270275745 378386043 414422809 630643405 882900767 1243268427 1891930215 2072114045 2648702301 2900959663 4414503835 6180305369 6216342135 8702878989 13243511505 14504798315 18540916107 20306717641 30901526845 43514394945 60920152923 92704580535 101533588205 142147023487 304600764615 426441070461 710735117435 2132205352305