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13281827818281 = 3113783216160647
BaseRepresentation
bin1100000101000110101010…
…1000010000101100101001
31202000201201102021002002020
43001101222220100230221
53220102140410141111
644125330520455053
72540403034465311
oct301215250205451
952021642232066
1013281827818281
1142608786019a0
1215a613531a489
137546179bc379
1433cbb591a441
151807567ca906
hexc146aa10b29

13281827818281 has 64 divisors (see below), whose sum is σ = 20089831458816. Its totient is φ = 7733966054400.

The previous prime is 13281827818267. The next prime is 13281827818289. The reversal of 13281827818281 is 18281872818231.

It is not a de Polignac number, because 13281827818281 - 27 = 13281827818153 is a prime.

It is a super-2 number, since 2×132818278182812 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13281827818289) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 218971900 + ... + 219032546.

It is an arithmetic number, because the mean of its divisors is an integer number (313903616544).

Almost surely, 213281827818281 is an apocalyptic number.

13281827818281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13281827818281 is a deficient number, since it is larger than the sum of its proper divisors (6808003640535).

13281827818281 is a wasteful number, since it uses less digits than its factorization.

13281827818281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62942.

The product of its digits is 5505024, while the sum is 60.

The spelling of 13281827818281 in words is "thirteen trillion, two hundred eighty-one billion, eight hundred twenty-seven million, eight hundred eighteen thousand, two hundred eighty-one".

Divisors: 1 3 11 33 37 83 111 249 407 913 1221 2161 2739 3071 6483 9213 23771 33781 60647 71313 79957 101343 179363 181941 239871 538089 667117 879527 1972993 2001351 2243939 2638581 5033701 5918979 6636431 6731817 15101103 19909293 24683329 55370711 73000741 74049987 131058167 166112133 186246937 219002223 393174501 558740811 1441639837 2048716307 4324919511 4849152179 6146148921 10877827861 14547456537 32633483583 53340673969 119656106471 160022021907 358968319413 402479630857 1207438892571 4427275939427 13281827818281