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11201100021111 = 37111337415924239
BaseRepresentation
bin1010001011111111010110…
…0101100111110101110111
31110122210222220211020002110
42202333311211213311313
52432004323101133421
635453414142542103
72234152462152060
oct242776545476567
943583886736073
1011201100021111
1136293a5a4a270
12130aa21897933
1363334a6006a0
142aa1c979d567
151465764baa76
hexa2ff5967d77

11201100021111 has 128 divisors (see below), whose sum is σ = 20600075059200. Its totient is φ = 5224518351360.

The previous prime is 11201100021109. The next prime is 11201100021191. The reversal of 11201100021111 is 11112000110211.

It is not a de Polignac number, because 11201100021111 - 21 = 11201100021109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201100021191) 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 127 ways as a sum of consecutive naturals, for example, 462098530 + ... + 462122768.

It is an arithmetic number, because the mean of its divisors is an integer number (160938086400).

Almost surely, 211201100021111 is an apocalyptic number.

11201100021111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11201100021111 is a deficient number, since it is larger than the sum of its proper divisors (9398975038089).

11201100021111 is a wasteful number, since it uses less digits than its factorization.

11201100021111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28469.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11201100021111 its reverse (11112000110211), we get a palindrome (22313100131322).

The spelling of 11201100021111 in words is "eleven trillion, two hundred one billion, one hundred million, twenty-one thousand, one hundred eleven".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 4159 5291 8547 10101 12477 15873 24239 29113 37037 45749 54067 72717 87339 111111 137247 153883 162201 169673 266629 315107 320243 378469 461649 509019 594737 799887 896843 945321 960729 1077181 1135407 1692713 1784211 1866403 2000479 2205749 2690529 3231543 3466177 4163159 5078139 5599209 6001437 6277901 6617247 9865273 10398531 11658959 11848991 12489477 14003353 18833703 22005269 24263239 29595819 34976877 35546973 42010059 66015807 69056911 72789717 81612713 100810001 128248549 154036883 207170733 244838139 302430003 384745647 462110649 705670007 897739843 1108910011 1310530013 2117010021 2693219529 3326730033 3729970037 3931590039 7762370077 9173710091 11189910111 14415830143 23287110231 26109790259 27521130273 41029670407 43247490429 48489610481 78329370777 100910811001 123089011221 145468831443 287207692849 302732433003 339427273367 533385715291 861623078547 1018281820101 1600157145873 3733700007037 11201100021111