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10022022221022 = 2337197817178513
BaseRepresentation
bin1001000111010110111100…
…0100110000110011011110
31022111002120221220222211000
42101311233010300303132
52303200100142033042
633152015313411130
72053032024212310
oct221655704606336
938432527828730
1010022022221022
1132143522a7689
12115a402b69aa6
135790c378a836
142690d5c157b0
15125a684b074c
hex91d6f130cde

10022022221022 has 128 divisors (see below), whose sum is σ = 26795951078400. Its totient is φ = 2712365595648.

The previous prime is 10022022221017. The next prime is 10022022221153. The reversal of 10022022221022 is 22012222022001.

10022022221022 is a `hidden beast` number, since 10 + 0 + 220 + 222 + 210 + 2 + 2 = 666.

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 = 10022022220986 and 10022022221004.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 56052438 + ... + 56230950.

It is an arithmetic number, because the mean of its divisors is an integer number (209343367800).

Almost surely, 210022022221022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022022221022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13397975539200).

10022022221022 is an abundant number, since it is smaller than the sum of its proper divisors (16773928857378).

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

10022022221022 is a wasteful number, since it uses less digits than its factorization.

10022022221022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186367 (or 186361 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10022022221022 its reverse (22012222022001), we get a palindrome (32034244243023).

The spelling of 10022022221022 in words is "ten trillion, twenty-two billion, twenty-two million, two hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1197 2394 3591 7182 7817 15634 23451 46902 54719 70353 109438 140706 148523 164157 178513 211059 297046 328314 357026 422118 445569 492471 535539 891138 984942 1039661 1071078 1249591 1336707 1477413 1606617 2079322 2499182 2673414 2954826 3118983 3213234 3391747 3748773 4010121 4819851 6237966 6783494 7497546 8020242 9356949 9639702 10175241 11246319 18713898 20350482 22492638 23742229 28070847 30525723 33738957 47484458 56141694 61051446 67477914 71226687 91577169 142453374 183154338 213680061 427360122 641040183 1282080366 1395436121 2790872242 4186308363 8372616726 9768052847 12558925089 19536105694 25117850178 26513286299 29304158541 37676775267 53026572598 58608317082 75353550534 79539858897 87912475623 159079717794 175824951246 185593004093 238619576691 263737426869 371186008186 477239153382 527474853738 556779012279 715858730073 1113558024558 1431717460146 1670337036837 3340674073674 5011011110511 10022022221022