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11201220220122 = 23217109377988867
BaseRepresentation
bin1010001011111111110011…
…0000001001010011011010
31110122211022021222222010200
42202333330300021103122
52432010044334020442
635453434115123030
72234155451632362
oct242777460112332
943584267888120
1011201220220122
113629457887599
12130aa55ba3476
1363336949706a
142aa1db72b9a2
15146581d1034c
hexa2ffcc094da

11201220220122 has 96 divisors (see below), whose sum is σ = 25939822708800. Its totient is φ = 3480908235264.

The previous prime is 11201220220121. The next prime is 11201220220159. The reversal of 11201220220122 is 22102202210211.

It is a happy number.

11201220220122 is a `hidden beast` number, since 1 + 1 + 201 + 220 + 220 + 1 + 22 = 666.

It is a super-2 number, since 2×112012202201222 (a number of 27 digits) contains 22 as substring.

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 = 11201220220095 and 11201220220104.

It is not an unprimeable number, because it can be changed into a prime (11201220220121) 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 47 ways as a sum of consecutive naturals, for example, 126000333 + ... + 126089199.

It is an arithmetic number, because the mean of its divisors is an integer number (270206486550).

Almost surely, 211201220220122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201220220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12969911354400).

11201220220122 is an abundant number, since it is smaller than the sum of its proper divisors (14738602488678).

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

11201220220122 is a wasteful number, since it uses less digits than its factorization.

11201220220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92780 (or 92777 counting only the distinct ones).

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

Adding to 11201220220122 its reverse (22102202210211), we get a palindrome (33303422430333).

The spelling of 11201220220122 in words is "eleven trillion, two hundred one billion, two hundred twenty million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 109 153 218 306 327 654 981 1853 1962 3706 3779 5559 7558 11118 11337 16677 22674 33354 34011 64243 68022 88867 128486 177734 192729 266601 385458 411911 533202 578187 799803 823822 1156374 1235733 1510739 1599606 2471466 3021478 3707199 4532217 7002487 7414398 9064434 9686503 13596651 14004974 19373006 21007461 27193302 29059509 42014922 58119018 63022383 87178527 126044766 164670551 174357054 329341102 335828393 494011653 671656786 988023306 1007485179 1482034959 2014970358 2964069918 3022455537 5709082681 6044911074 11418165362 17127248043 34254496086 36605294837 51381744129 73210589674 102763488258 109815884511 219631769022 329447653533 622290012229 658895307066 1244580024458 1866870036687 3733740073374 5600610110061 11201220220122