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21223110312322 = 21710928199720441
BaseRepresentation
bin1001101001101011000111…
…11100111000000110000010
32210010220120001022010021121
410310311203330320012002
510240204412214443242
6113045432352542454
74320214313106532
oct464654374700602
983126501263247
1021223110312322
1168427415388a6
122469220851a2a
13bac43b772159
145352bdb8b4c2
1526c0dd8c1667
hex134d63f38182

21223110312322 has 64 divisors (see below), whose sum is σ = 34173501389280. Its totient is φ = 9850130841600.

The previous prime is 21223110312307. The next prime is 21223110312323. The reversal of 21223110312322 is 22321301132212.

It can be written as a sum of positive squares in 16 ways, for example, as 17218424941081 + 4004685371241 = 4149509^2 + 2001171^2 .

It is a super-3 number, since 3×212231103123223 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (21223110312323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1038251622 + ... + 1038272062.

Almost surely, 221223110312322 is an apocalyptic number.

21223110312322 is a deficient number, since it is larger than the sum of its proper divisors (12950391076958).

21223110312322 is a wasteful number, since it uses less digits than its factorization.

21223110312322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21847.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 21223110312322 its reverse (22321301132212), we get a palindrome (43544411444534).

The spelling of 21223110312322 in words is "twenty-one trillion, two hundred twenty-three billion, one hundred ten million, three hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 17 34 109 218 281 562 997 1853 1994 3706 4777 9554 16949 20441 30629 33898 40882 61258 108673 217346 280157 347497 520693 560314 694994 1041386 1847441 2228069 3694882 4456138 4762669 5743921 9525338 11487842 20379677 30537113 37877173 40759354 61074226 75754346 97646657 195293314 346454509 519130921 626087389 692909018 1038261842 1252174778 2221384793 4442769586 5726689237 10643485613 11453378474 21286971226 37763541481 75527082962 97353717029 194707434058 624209126833 1248418253666 10611555156161 21223110312322