Search a number
-
+
11120220111 = 3711132443643
BaseRepresentation
bin10100101101101000…
…10001011111001111
31001200222122201020010
422112310101133033
5140233234020421
65035240524303
7542366211540
oct122664213717
931628581203
1011120220111
11479708aa60
1221a4180693
131082aca800
14776c464c7
154513da076
hex296d117cf

11120220111 has 96 divisors (see below), whose sum is σ = 20093294592. Its totient is φ = 5312062080.

The previous prime is 11120220103. The next prime is 11120220131. The reversal of 11120220111 is 11102202111.

It is not a de Polignac number, because 11120220111 - 23 = 11120220103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120220131) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 17293956 + ... + 17294598.

It is an arithmetic number, because the mean of its divisors is an integer number (209305152).

Almost surely, 211120220111 is an apocalyptic number.

11120220111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11120220111 is a deficient number, since it is larger than the sum of its proper divisors (8973074481).

11120220111 is a wasteful number, since it uses less digits than its factorization.

11120220111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11120220111 its reverse (11102202111), we get a palindrome (22222422222).

The spelling of 11120220111 in words is "eleven billion, one hundred twenty million, two hundred twenty thousand, one hundred eleven".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 169 231 273 429 443 507 643 1001 1183 1329 1859 1929 3003 3101 3549 4501 4873 5577 5759 7073 8359 9303 13013 13503 14619 17277 21219 25077 34111 39039 40313 49511 58513 63349 74867 91949 102333 108667 120939 148533 175539 190047 224601 275847 284849 326001 443443 524069 643643 760669 823537 854547 1195337 1330329 1572207 1930929 1993943 2282007 2470611 3133339 3586011 3703037 5764759 5981829 8367359 9400017 11109111 17294277 21933373 25102077 25921259 40733407 48139481 65800119 77763777 122200221 144418443 285133849 336976367 529534291 855401547 1010929101 1588602873 3706740037 11120220111