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11011301411220 = 223251123323868083
BaseRepresentation
bin1010000000111100010010…
…1101011000100110010100
31102222200002112020212000100
42200033010231120212110
52420402121130124340
635230304432014100
72214353212454145
oct240170455304624
942880075225010
1011011301411220
113565959645490
12129a092691330
1361b490921926
142a0d424a5acc
15141668935830
hexa03c4b58994

11011301411220 has 144 divisors (see below), whose sum is σ = 36593782610112. Its totient is φ = 2657949611520.

The previous prime is 11011301411189. The next prime is 11011301411237. The reversal of 11011301411220 is 2211410311011.

11011301411220 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 1 + 30 + 1 + 411 + 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 = 11011301411193 and 11011301411202.

It is a congruent number.

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, 11472702 + ... + 12395381.

It is an arithmetic number, because the mean of its divisors is an integer number (254123490348).

Almost surely, 211011301411220 is an apocalyptic number.

11011301411220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011301411220 is an abundant number, since it is smaller than the sum of its proper divisors (25582481198892).

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

11011301411220 is a wasteful number, since it uses less digits than its factorization.

11011301411220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23868342 (or 23868337 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11011301411220 its reverse (2211410311011), we get a palindrome (13222711722231).

The spelling of 11011301411220 in words is "eleven trillion, eleven billion, three hundred one million, four hundred eleven 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 99 110 132 165 180 198 220 233 330 396 466 495 660 699 932 990 1165 1398 1980 2097 2330 2563 2796 3495 4194 4660 5126 6990 7689 8388 10252 10485 12815 13980 15378 20970 23067 25630 30756 38445 41940 46134 51260 76890 92268 115335 153780 230670 461340 23868083 47736166 71604249 95472332 119340415 143208498 214812747 238680830 262548913 286416996 358021245 429625494 477361660 525097826 716042490 787646739 859250988 1050195652 1074063735 1312744565 1432084980 1575293478 2148127470 2362940217 2625489130 3150586956 3938233695 4296254940 4725880434 5250978260 5561263339 7876467390 9451760868 11122526678 11814701085 15752934780 16683790017 22245053356 23629402170 27806316695 33367580034 47258804340 50051370051 55612633390 61173896729 66735160068 83418950085 100102740102 111225266780 122347793458 166837900170 183521690187 200205480204 244695586916 250256850255 305869483645 333675800340 367043380374 500513700510 550565070561 611738967290 734086760748 917608450935 1001027401020 1101130141122 1223477934580 1835216901870 2202260282244 2752825352805 3670433803740 5505650705610 11011301411220