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11221011210220 = 22572192399325117
BaseRepresentation
bin1010001101001001100001…
…1000110001111111101100
31110201201101120020102200221
42203102120120301333230
52432321112332211340
635510510020501124
72235456055365100
oct243223030617754
943651346212627
1011221011210220
11363689332a359
121312859b4a7a4
136351a17816a6
142ab157d67900
15146d3e54244a
hexa3498631fec

11221011210220 has 144 divisors (see below), whose sum is σ = 28856380260960. Its totient is φ = 3644422419456.

The previous prime is 11221011210217. The next prime is 11221011210259. The reversal of 11221011210220 is 2201211012211.

11221011210220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112210112102202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11221011210194 and 11221011210203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446737102 + ... + 446762218.

It is an arithmetic number, because the mean of its divisors is an integer number (200391529590).

Almost surely, 211221011210220 is an apocalyptic number.

11221011210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221011210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14428190130480).

11221011210220 is an abundant number, since it is smaller than the sum of its proper divisors (17635369050740).

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

11221011210220 is a wasteful number, since it uses less digits than its factorization.

11221011210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49152 (or 49143 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11221011210220 its reverse (2201211012211), we get a palindrome (13422222222431).

The spelling of 11221011210220 in words is "eleven trillion, two hundred twenty-one billion, eleven million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 490 532 665 931 980 1330 1862 2660 3724 4655 9310 18620 23993 25117 47986 50234 95972 100468 119965 125585 167951 175819 239930 251170 335902 351638 455867 477223 479860 502340 671804 703276 839755 879095 911734 954446 1175657 1230733 1679510 1758190 1823468 1908892 2279335 2351314 2386115 2461466 3191069 3340561 3359020 3516380 4558670 4702628 4772230 4922932 5878285 6153665 6382138 6681122 9117340 9544460 11756570 12307330 12764276 13362244 15955345 16702805 22337483 23383927 23513140 24614660 31910690 33405610 44674966 46767854 63821380 66811220 89349932 93535708 111687415 116919635 223374830 233839270 446749660 467678540 602632181 1205264362 2410528724 3013160905 4218425267 6026321810 8436850534 11450011439 12052643620 16873701068 21092126335 22900022878 29528976869 42184252670 45800045756 57250057195 59057953738 80150080073 84368505340 114500114390 118115907476 147644884345 160300160146 229000228780 295289768690 320600320292 400750400365 561050560511 590579537380 801500800730 1122101121022 1603001601460 2244202242044 2805252802555 5610505605110 11221011210220