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11210020201120 = 2551322291810357
BaseRepresentation
bin1010001100100000100101…
…0001011010001010100000
31110200200000120201022122211
42203020021101122022200
52432131110132413440
635501451233211504
72234616515346556
oct243101121321240
943620016638584
1011210020201120
113632163182564
1213106b1100b94
1363413c684500
142aa7d4357bd6
151468e967beea
hexa320945a2a0

11210020201120 has 144 divisors (see below), whose sum is σ = 28802831987160. Its totient is φ = 4121007501312.

The previous prime is 11210020201103. The next prime is 11210020201243. The reversal of 11210020201120 is 2110202001211.

It can be written as a sum of positive squares in 12 ways, for example, as 111874194576 + 11098146006544 = 334476^2 + 3331388^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 11210020201120.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5286982 + ... + 7097338.

Almost surely, 211210020201120 is an apocalyptic number.

11210020201120 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 11210020201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14401415993580).

11210020201120 is an abundant number, since it is smaller than the sum of its proper divisors (17592811786040).

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

11210020201120 is a wasteful number, since it uses less digits than its factorization.

11210020201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810627 (or 1810606 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11210020201120 its reverse (2110202001211), we get a palindrome (13320222202331).

The spelling of 11210020201120 in words is "eleven trillion, two hundred ten billion, twenty million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 229 260 338 416 458 520 676 845 916 1040 1145 1352 1690 1832 2080 2290 2704 2977 3380 3664 4580 5408 5954 6760 7328 9160 11908 13520 14885 18320 23816 27040 29770 36640 38701 47632 59540 77402 95264 119080 154804 193505 238160 309608 387010 476320 619216 774020 1238432 1548040 1810357 3096080 3620714 6192160 7241428 9051785 14482856 18103570 23534641 28965712 36207140 47069282 57931424 72414280 94138564 117673205 144828560 188277128 235346410 289657120 305950333 376554256 414571753 470692820 611900666 753108512 829143506 941385640 1223801332 1529751665 1658287012 1882771280 2072858765 2447602664 3059503330 3316574024 3765542560 4145717530 4895205328 5389432789 6119006660 6633148048 8291435060 9790410656 10778865578 12238013320 13266296096 16582870120 21557731156 24476026640 26947163945 33165740240 43115462312 48952053280 53894327890 66331480480 70062626257 86230924624 107788655780 140125252514 172461849248 215577311560 280250505028 350313131285 431154623120 560501010056 700626262570 862309246240 1121002020112 1401252525140 2242004040224 2802505050280 5605010100560 11210020201120