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12134313432105 = 3517380531250507
BaseRepresentation
bin1011000010010011110101…
…1100010001010000101001
31120222000210011111101212220
42300210331130101100221
53042302033214311410
641450232053024253
72361450412235454
oct260447534212051
946860704441786
1012134313432105
113959151656357
12143b865025089
136a03511076b7
142dd437caa49b
151609947bd070
hexb093d711429

12134313432105 has 32 divisors (see below), whose sum is σ = 20557511178624. Its totient is φ = 6090784551936.

The previous prime is 12134313432097. The next prime is 12134313432127. The reversal of 12134313432105 is 50123431343121.

It is not a de Polignac number, because 12134313432105 - 23 = 12134313432097 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9078262 + ... + 10328768.

It is an arithmetic number, because the mean of its divisors is an integer number (642422224332).

Almost surely, 212134313432105 is an apocalyptic number.

12134313432105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12134313432105 is a deficient number, since it is larger than the sum of its proper divisors (8423197746519).

12134313432105 is a wasteful number, since it uses less digits than its factorization.

12134313432105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288585.

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 12134313432105 its reverse (50123431343121), we get a palindrome (62257744775226).

The spelling of 12134313432105 in words is "twelve trillion, one hundred thirty-four billion, three hundred thirteen million, four hundred thirty-two thousand, one hundred five".

Divisors: 1 3 5 15 17 51 85 255 38053 114159 190265 570795 646901 1250507 1940703 3234505 3751521 6252535 9703515 18757605 21258619 63775857 106293095 318879285 47585542871 142756628613 237927714355 713783143065 808954228807 2426862686421 4044771144035 12134313432105