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211010222102022 = 233710134589159791
BaseRepresentation
bin101111111110100110100101…
…010101010001011000000110
31000200010101021011222022201000
4233332212211111101120012
5210124142413324231042
62024440431404114130
762305662004112640
oct5776464525213006
91020111234868630
10211010222102022
1161263a29395862
121b7bb240535946
1390982423c57c5
143a16d40a15890
15195dcd7d7974c
hexbfe9a5551606

211010222102022 has 128 divisors (see below), whose sum is σ = 541223941017600. Its totient is φ = 59689618416000.

The previous prime is 211010222102021. The next prime is 211010222102039. The reversal of 211010222102022 is 220201222010112.

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 = 211010222101986 and 211010222102004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211010222102021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1320458947 + ... + 1320618737.

It is an arithmetic number, because the mean of its divisors is an integer number (4228312039200).

Almost surely, 2211010222102022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211010222102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270611970508800).

211010222102022 is an abundant number, since it is smaller than the sum of its proper divisors (330213718915578).

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

211010222102022 is a wasteful number, since it uses less digits than its factorization.

211010222102022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194499 (or 194493 counting only the distinct ones).

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

Adding to 211010222102022 its reverse (220201222010112), we get a palindrome (431211444112134).

The spelling of 211010222102022 in words is "two hundred eleven trillion, ten billion, two hundred twenty-two million, one hundred two thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 101 126 189 202 303 378 606 707 909 1414 1818 2121 2727 4242 5454 6363 12726 19089 34589 38178 69178 103767 159791 207534 242123 311301 319582 479373 484246 622602 726369 933903 958746 1118537 1438119 1452738 1867806 2179107 2237074 2876238 3355611 3493489 4314357 4358214 6537321 6711222 6986978 8628714 10066833 10480467 13074642 16138891 20133666 20960934 24454423 30200499 31441401 32277782 48416673 48908846 60400998 62882802 73363269 94324203 96833346 112972237 145250019 146726538 188648406 220089807 225944474 290500038 338916711 435750057 440179614 660269421 677833422 871500114 1016750133 1320538842 2033500266 3050250399 5527010899 6100500798 11054021798 16581032697 33162065394 38689076293 49743098091 77378152586 99486196182 116067228879 149229294273 232134457758 298458588546 348201686637 558228100799 696403373274 1044605059911 1116456201598 1674684302397 2089210119822 3349368604794 3907596705593 5024052907191 7815193411186 10048105814382 11722790116779 15072158721573 23445580233558 30144317443146 35168370350337 70336740700674 105505111051011 211010222102022