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12268345791130 = 2511213779932981
BaseRepresentation
bin1011001010000111001001…
…1001001001001010011010
31121102211202010000201012021
42302201302121021022122
53102001033010304010
642032000015405054
72404234021421542
oct262416231111232
947384663021167
1012268345791130
1139aaa81400500
12146183022378a
136acb91520590
14305b10b10322
151641db6498da
hexb287264929a

12268345791130 has 48 divisors (see below), whose sum is σ = 26140233824712. Its totient is φ = 4118046134400.

The previous prime is 12268345791127. The next prime is 12268345791151. The reversal of 12268345791130 is 3119754386221.

It can be written as a sum of positive squares in 4 ways, for example, as 4365663399889 + 7902682391241 = 2089417^2 + 2811171^2 .

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 23 ways as a sum of consecutive naturals, for example, 389950761 + ... + 389982220.

It is a 1-persistent number, because it is pandigital, but 2⋅12268345791130 = 24536691582260 is not.

Almost surely, 212268345791130 is an apocalyptic number.

12268345791130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12268345791130 is an abundant number, since it is smaller than the sum of its proper divisors (13871888033582).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12268345791130 is a wasteful number, since it uses less digits than its factorization.

12268345791130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779933023 (or 779933012 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 12268345791130 in words is "twelve trillion, two hundred sixty-eight billion, three hundred forty-five million, seven hundred ninety-one thousand, one hundred thirty".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 121 130 143 242 286 605 715 1210 1430 1573 3146 7865 15730 779932981 1559865962 3899664905 7799329810 8579262791 10139128753 17158525582 20278257506 42896313955 50695643765 85792627910 94371890701 101391287530 111530416283 188743781402 223060832566 471859453505 557652081415 943718907010 1115304162830 1226834579113 2453669158226 6134172895565 12268345791130