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12232044040113 = 3261269706911717
BaseRepresentation
bin1011000111111111111010…
…1000111100111110110001
31121022101001011212200120100
42301333332220330332301
53100402211233240423
642003153511103013
72401510311553002
oct261777650747661
947271034780510
1012232044040113
113996642a76687
12145679a971a69
136a96276ca931
143040697891a9
151632b4680343
hexb1ffea3cfb1

12232044040113 has 48 divisors (see below), whose sum is σ = 18029003101200. Its totient is φ = 7989382218240.

The previous prime is 12232044040091. The next prime is 12232044040121. The reversal of 12232044040113 is 31104044023221.

12232044040113 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 204 + 40 + 401 + 13 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8676017378064 + 3556026662049 = 2945508^2 + 1885743^2 .

It is not a de Polignac number, because 12232044040113 - 218 = 12232043777969 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12232044030113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1043951131 + ... + 1043962847.

It is an arithmetic number, because the mean of its divisors is an integer number (375604231275).

Almost surely, 212232044040113 is an apocalyptic number.

It is an amenable number.

12232044040113 is a deficient number, since it is larger than the sum of its proper divisors (5796959061087).

12232044040113 is a wasteful number, since it uses less digits than its factorization.

12232044040113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19122 (or 19119 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12232044040113 its reverse (31104044023221), we get a palindrome (43336088063334).

The spelling of 12232044040113 in words is "twelve trillion, two hundred thirty-two billion, forty-four million, forty thousand, one hundred thirteen".

Divisors: 1 3 9 61 183 269 549 807 2421 7069 11717 16409 21207 35151 49227 63621 105453 147681 431209 714737 1293627 1901561 2144211 3151873 3880881 5704683 6432633 9455619 17114049 28366857 82827473 115995221 192264253 248482419 347985663 576792759 745447257 1043956989 1730378277 5052475853 15157427559 22280590237 45472282677 66841770711 200525312133 1359116004457 4077348013371 12232044040113