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11211211220220 = 223251125261224149
BaseRepresentation
bin1010001100100101000001…
…0000110010010011111100
31110200210002120211100201100
42203021100100302103330
52432141030033021340
635502205341013100
72234661160011504
oct243112020622374
943623076740640
1011211211220220
113632714504870
121310983b54190
1363429c352c3b
142aa8a85caa04
15146968ee1830
hexa32504324fc

11211211220220 has 144 divisors (see below), whose sum is σ = 37100551269600. Its totient is φ = 2717749670400.

The previous prime is 11211211220213. The next prime is 11211211220221. The reversal of 11211211220220 is 2202211211211.

11211211220220 is a `hidden beast` number, since 1 + 1 + 2 + 11 + 211 + 220 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11211211220193 and 11211211220202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211211220221) 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, 49904706 + ... + 50128854.

It is an arithmetic number, because the mean of its divisors is an integer number (257642717150).

Almost surely, 211211211220220 is an apocalyptic number.

11211211220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211211220220 is an abundant number, since it is smaller than the sum of its proper divisors (25889340049380).

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

11211211220220 is a wasteful number, since it uses less digits than its factorization.

11211211220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249436 (or 249431 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11211211220220 its reverse (2202211211211), we get a palindrome (13413422431431).

Subtracting from 11211211220220 its reverse (2202211211211), we obtain a palindrome (9009000009009).

The spelling of 11211211220220 in words is "eleven trillion, two hundred eleven billion, two hundred eleven million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 25261 50522 75783 101044 126305 151566 224149 227349 252610 277871 303132 378915 448298 454698 505220 555742 672447 757830 833613 896596 909396 1111484 1120745 1136745 1344894 1389355 1515660 1667226 2017341 2241490 2273490 2465639 2500839 2689788 2778710 3334452 3362235 4034682 4168065 4482980 4546980 4931278 5001678 5557420 6724470 7396917 8069364 8336130 9862556 10003356 10086705 12328195 12504195 13448940 14793834 16672260 20173410 22190751 24656390 25008390 29587668 36984585 40346820 44381502 49312780 50016780 73969170 88763004 110953755 147938340 221907510 443815020 5662227889 11324455778 16986683667 22648911556 28311139445 33973367334 50960051001 56622278890 62284506779 67946734668 84933418335 101920102002 113244557780 124569013558 169866836670 186853520337 203840204004 249138027116 254800255005 311422533895 339733673340 373707040674 509600510010 560560561011 622845067790 747414081348 934267601685 1019201020020 1121121122022 1245690135580 1868535203370 2242242244044 2802802805055 3737070406740 5605605610110 11211211220220