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11221221111100 = 225271113112100111
BaseRepresentation
bin1010001101001010010011…
…1001011111010100111100
31110201201221012012111120121
42203102210321133110330
52432322030101023400
635510542515424324
72235464214460030
oct243224471372474
943651835174517
1011221221111100
113636990864a60
1213128b82b50a4
136352060c43b0
142ab177ba61c0
15146d52ba521a
hexa34a4e5f53c

11221221111100 has 144 divisors (see below), whose sum is σ = 32693773464576. Its totient is φ = 3228483168000.

The previous prime is 11221221111097. The next prime is 11221221111119. The reversal of 11221221111100 is 111112212211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55949956 + ... + 56150155.

It is an arithmetic number, because the mean of its divisors is an integer number (227040093504).

Almost surely, 211221221111100 is an apocalyptic number.

11221221111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221221111100 is an abundant number, since it is smaller than the sum of its proper divisors (21472552353476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11221221111100 is a wasteful number, since it uses less digits than its factorization.

11221221111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112100156 (or 112100149 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 11221221111100 its reverse (111112212211), we get a palindrome (11332333323311).

The spelling of 11221221111100 in words is "eleven trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 112100111 224200222 448400444 560500555 784700777 1121001110 1233101221 1457301443 1569401554 2242002220 2466202442 2802502775 2914602886 3138803108 3923503885 4932404884 5605005550 5829205772 6165506105 7286507215 7847007770 8631708547 10201110101 11210011100 12331012210 14573014430 15694015540 16030315873 17263417094 19617519425 20402220202 24662024420 29146028860 30827530525 32060631746 34526834188 36432536075 39235038850 40804440404 43158542735 51005550505 61655061050 64121263492 72865072150 78470077700 80151579365 86317085470 102011101010 112212211111 123310122100 145730144300 160303158730 172634170940 204022202020 215792713675 224424422222 255027752525 320606317460 400757896825 431585427350 448848844444 510055505050 561061055555 801515793650 863170854700 1020111010100 1122122111110 1603031587300 2244244222220 2805305277775 5610610555550 11221221111100