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222221020200102 = 232711220877725891
BaseRepresentation
bin110010100001101111011100…
…111110000111110010100110
31002010211010021222102220101100
4302201233130332013302212
5213111332122132400402
62104342532150340530
764543640016500640
oct6241573476076246
91063733258386340
10222221020200102
1164896450681870
1220b0bb0a05a746
1396cc476c91471
143cc37aa3c3890
151aa572a96471c
hexca1bdcf87ca6

222221020200102 has 96 divisors (see below), whose sum is σ = 600288897970944. Its totient is φ = 57719404670400.

The previous prime is 222221020200083. The next prime is 222221020200131. The reversal of 222221020200102 is 201002020122222.

222221020200102 is a `hidden beast` number, since 2 + 222 + 210 + 20 + 200 + 10 + 2 = 666.

It is a super-2 number, since 2×2222210202001022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305772577 + ... + 306498467.

It is an arithmetic number, because the mean of its divisors is an integer number (6253009353864).

Almost surely, 2222221020200102 is an apocalyptic number.

222221020200102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

222221020200102 is an abundant number, since it is smaller than the sum of its proper divisors (378067877770842).

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

222221020200102 is a wasteful number, since it uses less digits than its factorization.

222221020200102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946794 (or 946791 counting only the distinct ones).

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

Adding to 222221020200102 its reverse (201002020122222), we get a palindrome (423223040322324).

The spelling of 222221020200102 in words is "two hundred twenty-two trillion, two hundred twenty-one billion, twenty million, two hundred thousand, one hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 220877 441754 662631 725891 1325262 1451782 1546139 1987893 2177673 2429647 3092278 3975786 4355346 4638417 4859294 5081237 6533019 7288941 7984801 9276834 10162474 13066038 13915251 14577882 15243711 15969602 17007529 21866823 23954403 27830502 30487422 34015058 43733646 45731133 47908806 51022587 55893607 71863209 91462266 102045174 111787214 143726418 153067761 167680821 306135522 335361642 503042463 1006084926 160332626407 320665252814 480997879221 961995758442 1122328384849 1442993637663 1763658890477 2244656769698 2885987275326 3366985154547 3527317780954 5290976671431 6733970309094 10100955463641 10581953342862 12345612233339 15872930014293 20201910927282 24691224466678 31745860028586 37036836700017 74073673400034 111110510100051 222221020200102