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11220011003322 = 2341121292957399
BaseRepresentation
bin1010001101000101110011…
…0001010010110110111010
31110201121210212011122210000
42203101130301102312322
52432312040304101242
635510222450533430
72235422221643022
oct243213461226672
943647725148700
1011220011003322
11363641a785090
12131261ab97276
136350724a12a4
142ab0a11a4a82
15146cd181ea4c
hexa345cc52dba

11220011003322 has 80 divisors (see below), whose sum is σ = 27439585272000. Its totient is φ = 3398405189760.

The previous prime is 11220011003297. The next prime is 11220011003323. The reversal of 11220011003322 is 22330011002211.

11220011003322 is a `hidden beast` number, since 1 + 1 + 220 + 0 + 110 + 0 + 332 + 2 = 666.

11220011003322 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-3 number, since 3×112200110033223 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 11220011003295 and 11220011003304.

It is not an unprimeable number, because it can be changed into a prime (11220011003323) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2315179 + ... + 5272577.

It is an arithmetic number, because the mean of its divisors is an integer number (342994815900).

Almost surely, 211220011003322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11220011003322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13719792636000).

11220011003322 is an abundant number, since it is smaller than the sum of its proper divisors (16219574268678).

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

11220011003322 is a wasteful number, since it uses less digits than its factorization.

11220011003322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959553 (or 2959544 counting only the distinct ones).

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

Adding to 11220011003322 its reverse (22330011002211), we get a palindrome (33550022005533).

The spelling of 11220011003322 in words is "eleven trillion, two hundred twenty billion, eleven million, three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 2129 4258 6387 12774 19161 23419 38322 46838 57483 70257 114966 140514 172449 210771 344898 421542 632313 1264626 1896939 2957399 3793878 5914798 8872197 17744394 26616591 32531389 53233182 65062778 79849773 97594167 159699546 195188334 239549319 292782501 479098638 585565002 878347503 1756695006 2635042509 5270085018 6296302471 12592604942 18888907413 37777814826 56666722239 69259327181 113333444478 138518654362 170000166717 207777981543 340000333434 415555963086 510000500151 623333944629 1020001000302 1246667889258 1870001833887 3740003667774 5610005501661 11220011003322