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11001222012222 = 23213267495710889
BaseRepresentation
bin1010000000010110101111…
…1011100001110100111110
31102221201002002002022221100
42200011223323201310332
52420221000313342342
635221520331313530
72213545352131221
oct240055373416476
942851062068840
1011001222012222
11356165702a872
12129813abab8a6
1361a545654800
142a06679955b8
15141278ae1e4c
hexa016bee1d3e

11001222012222 has 144 divisors (see below), whose sum is σ = 26203482367920. Its totient is φ = 3333490288128.

The previous prime is 11001222012199. The next prime is 11001222012227. The reversal of 11001222012222 is 22221022210011.

It is a happy number.

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 = 11001222012195 and 11001222012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001222012227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1010300554 + ... + 1010311442.

It is an arithmetic number, because the mean of its divisors is an integer number (181968627555).

Almost surely, 211001222012222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001222012222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13101741183960).

11001222012222 is an abundant number, since it is smaller than the sum of its proper divisors (15202260355698).

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

11001222012222 is a wasteful number, since it uses less digits than its factorization.

11001222012222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15947 (or 15931 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11001222012222 its reverse (22221022210011), we get a palindrome (33222244222233).

The spelling of 11001222012222 in words is "eleven trillion, one billion, two hundred twenty-two million, twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 67 78 117 134 169 201 234 338 402 507 603 871 1014 1206 1521 1742 2613 3042 4957 5226 7839 9914 10889 11323 14871 15678 21778 22646 29742 32667 33969 44613 64441 65334 67938 89226 98001 101907 128882 141557 193323 196002 203814 283114 332119 386646 424671 579969 664238 729563 837733 849342 996357 1159938 1274013 1459126 1675466 1840241 1992714 2188689 2513199 2548026 2989071 3680482 4317547 4377378 5026398 5520723 5978142 6566067 7539597 8635094 9484319 11041446 12952641 13132134 15079194 16562169 18968638 25905282 28452957 33124338 38857923 53976773 56128111 56905914 77715846 85358871 107953546 112256222 123296147 161930319 168384333 170717742 246592294 323860638 336768666 369888441 485790957 505152999 701698049 739776882 971581914 1010305998 1109665323 1403396098 2105094147 2219330646 3616443791 4210188294 6315282441 7232887582 9122074637 10849331373 12630564882 18244149274 21698662746 27366223911 32547994119 47013769283 54732447822 65095988238 82098671733 94027538566 141041307849 164197343466 282082615698 423123923547 611179000679 846247847094 1222358001358 1833537002037 3667074004074 5500611006111 11001222012222