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11220220110220 = 225112171012700323
BaseRepresentation
bin1010001101000110100100…
…1110111110010110001100
31110201122100102122101111221
42203101221032332112030
52432313002322011340
635510255320453124
72235430341220102
oct243215116762614
943648312571457
1011220220110220
113636517818200
12131267901a1a4
136350a68c6794
142ab0c0c77c72
15146ce4d7744a
hexa34693be58c

11220220110220 has 144 divisors (see below), whose sum is σ = 27694242110304. Its totient is φ = 3802053376000.

The previous prime is 11220220110217. The next prime is 11220220110221. The reversal of 11220220110220 is 2201102202211.

It is a happy number.

11220220110220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11220220110194 and 11220220110203.

It is not an unprimeable number, because it can be changed into a prime (11220220110221) 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, 2804979 + ... + 5505301.

It is an arithmetic number, because the mean of its divisors is an integer number (192321125766).

Almost surely, 211220220110220 is an apocalyptic number.

11220220110220 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 11220220110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13847121055152).

11220220110220 is an abundant number, since it is smaller than the sum of its proper divisors (16474022000084).

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

11220220110220 is a wasteful number, since it uses less digits than its factorization.

11220220110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700472 (or 2700459 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11220220110220 its reverse (2201102202211), we get a palindrome (13421322312431).

The spelling of 11220220110220 in words is "eleven trillion, two hundred twenty billion, two hundred twenty million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 101 110 121 170 187 202 220 242 340 374 404 484 505 605 748 935 1010 1111 1210 1717 1870 2020 2057 2222 2420 3434 3740 4114 4444 5555 6868 8228 8585 10285 11110 12221 17170 18887 20570 22220 24442 34340 37774 41140 48884 61105 75548 94435 122210 188870 207757 244420 377740 415514 831028 1038785 2077570 2700323 4155140 5400646 10801292 13501615 27003230 29703553 45905491 54006460 59407106 91810982 118814212 148517765 183621964 229527455 272732623 297035530 326739083 459054910 504960401 545465246 594071060 653478166 918109820 1009920802 1090930492 1306956332 1363663115 1633695415 2019841604 2524802005 2727326230 3000058853 3267390830 4636454591 5049604010 5454652460 5554564411 6000117706 6534781660 9272909182 10099208020 11109128822 12000235412 15000294265 18545818364 22218257644 23182272955 27772822055 30000588530 33000647383 46364545910 51001000501 55545644110 60001177060 66001294766 92729091820 102002001002 111091288220 132002589532 165003236915 204004002004 255005002505 330006473830 510010005010 561011005511 660012947660 1020020010020 1122022011022 2244044022044 2805055027555 5610110055110 11220220110220