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11200220122221 = 3213653226964609
BaseRepresentation
bin1010001011111100000100…
…1001000100110001101101
31110122201201121010201201200
42202333001021010301231
52432001022322402341
635453150551400113
72234121616143144
oct242770111046155
943581647121650
1011200220122221
113628a942a71a9
12130a817083039
1363323a224460
142aa14499675b
1514652410edb6
hexa2fc1244c6d

11200220122221 has 48 divisors (see below), whose sum is σ = 17457205911600. Its totient is φ = 6878748635136.

The previous prime is 11200220122067. The next prime is 11200220122283. The reversal of 11200220122221 is 12222102200211.

It is a happy number.

11200220122221 is a `hidden beast` number, since 1 + 1 + 200 + 220 + 1 + 22 + 221 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2301865496100 + 8898354626121 = 1517190^2 + 2983011^2 .

It is not a de Polignac number, because 11200220122221 - 218 = 11200219860077 is a prime.

It is a super-4 number, since 4×112002201222214 (a number of 53 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11200220122194 and 11200220122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200220122291) 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, 173321565 + ... + 173386173.

It is an arithmetic number, because the mean of its divisors is an integer number (363691789825).

Almost surely, 211200220122221 is an apocalyptic number.

It is an amenable number.

11200220122221 is a deficient number, since it is larger than the sum of its proper divisors (6256985789379).

11200220122221 is a wasteful number, since it uses less digits than its factorization.

11200220122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67550 (or 67547 counting only the distinct ones).

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

Adding to 11200220122221 its reverse (12222102200211), we get a palindrome (23422322322432).

The spelling of 11200220122221 in words is "eleven trillion, two hundred billion, two hundred twenty million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 13 39 117 653 1959 2269 5877 6807 8489 20421 25467 29497 64609 76401 88491 193827 265473 581481 839917 1481657 2519751 4444971 7559253 13334913 19261541 42189677 57784623 126569031 146597821 173353869 379707093 439793463 548465801 1319380389 1645397403 1905771673 4936192209 5717315019 17151945057 95728377113 287185131339 861555394017 1244468902469 3733406707407 11200220122221