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11203231001220 = 223253710116655117
BaseRepresentation
bin1010001100000111010010…
…0110101010101010000100
31110200000111102122020020200
42203001310212222222010
52432023204114014340
635454405425130500
72234256336166056
oct243016446525204
943600442566220
1011203231001220
11362a299918155
12130b317489a30
136335c9c4766b
142aa34c7d18d6
1514664d602330
hexa30749aaa84

11203231001220 has 144 divisors (see below), whose sum is σ = 35247159602928. Its totient is φ = 2878004044800.

The previous prime is 11203231001203. The next prime is 11203231001267. The reversal of 11203231001220 is 2210013230211.

11203231001220 is a `hidden beast` number, since 1 + 1 + 20 + 323 + 100 + 1 + 220 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1782112861764 + 9421118139456 = 1334958^2 + 3069384^2 .

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 = 11203231001193 and 11203231001202.

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, 7654899 + ... + 9000218.

It is an arithmetic number, because the mean of its divisors is an integer number (244771941687).

Almost surely, 211203231001220 is an apocalyptic number.

11203231001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11203231001220 is an abundant number, since it is smaller than the sum of its proper divisors (24043928601708).

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

11203231001220 is a wasteful number, since it uses less digits than its factorization.

11203231001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16655270 (or 16655265 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11203231001220 its reverse (2210013230211), we get a palindrome (13413244231431).

The spelling of 11203231001220 in words is "eleven trillion, two hundred three billion, two hundred thirty-one million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 101 111 148 180 185 202 222 303 333 370 404 444 505 555 606 666 740 909 1010 1110 1212 1332 1515 1665 1818 2020 2220 3030 3330 3636 3737 4545 6060 6660 7474 9090 11211 14948 18180 18685 22422 33633 37370 44844 56055 67266 74740 112110 134532 168165 224220 336330 672660 16655117 33310234 49965351 66620468 83275585 99930702 149896053 166551170 199861404 249826755 299792106 333102340 499653510 599584212 616239329 749480265 999307020 1232478658 1498960530 1682166817 1848717987 2464957316 2997921060 3081196645 3364333634 3697435974 5046500451 5546153961 6162393290 6728667268 7394871948 8410834085 9243589935 10093000902 11092307922 12324786580 15139501353 16821668170 18487179870 20186001804 22184615844 25232502255 27730769805 30279002706 33643336340 36974359740 50465004510 55461539610 60558005412 62240172229 75697506765 100930009020 110923079220 124480344458 151395013530 186720516687 248960688916 302790027060 311200861145 373441033374 560161550061 622401722290 746882066748 933602583435 1120323100122 1244803444580 1867205166870 2240646200244 2800807750305 3734410333740 5601615500610 11203231001220