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13112330310113 = 234124767107699
BaseRepresentation
bin1011111011001111001111…
…0010100101000111100001
31201102112012211210112011112
42332303303302211013201
53204313023024410423
643515415452553105
72522222524443026
oct276636362450741
951375184715145
1013112330310113
1141a59a9693331
121579310a82795
13741644bb0638
143348d68c754d
1517b13613ba78
hexbecf3ca51e1

13112330310113 has 48 divisors (see below), whose sum is σ = 14536584345600. Its totient is φ = 11797118298240.

The previous prime is 13112330310097. The next prime is 13112330310151. The reversal of 13112330310113 is 31101303321131.

It is not a de Polignac number, because 13112330310113 - 24 = 13112330310097 is a prime.

It is a super-3 number, since 3×131123303101133 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13112330315113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121695938 + ... + 121803636.

It is an arithmetic number, because the mean of its divisors is an integer number (302845507200).

Almost surely, 213112330310113 is an apocalyptic number.

It is an amenable number.

13112330310113 is a deficient number, since it is larger than the sum of its proper divisors (1424254035487).

13112330310113 is a wasteful number, since it uses less digits than its factorization.

13112330310113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107918 (or 107877 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 13112330310113 its reverse (31101303321131), we get a palindrome (44213633631244).

The spelling of 13112330310113 in words is "thirteen trillion, one hundred twelve billion, three hundred thirty million, three hundred ten thousand, one hundred thirteen".

Divisors: 1 23 41 47 67 943 1081 1541 1681 1927 2747 3149 38663 44321 63181 72427 79007 107699 112627 129109 1817161 2477077 2590421 2969507 4415659 5061853 5293469 7215833 101560157 116422619 121749787 165964159 181042019 207535973 295849153 339144151 4163966437 4773327379 6804530519 7800315473 8508974893 12129815273 13904910191 195706422539 278985751279 319812934393 570101317831 13112330310113