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20010212212221 = 3471113923081347
BaseRepresentation
bin1001000110010111111011…
…00101110011110111111101
32121211221212002112122020000
410203023331211303313331
510110321403311242341
6110320321541144513
74133455466263230
oct443137545636775
977757762478200
1020010212212221
116415313146250
1222b21436bb139
13b21c54c42c6a
144d26dc661417
1524a7a16b18b6
hex1232fd973dfd

20010212212221 has 80 divisors (see below), whose sum is σ = 37535811371520. Its totient is φ = 10320131423520.

The previous prime is 20010212212163. The next prime is 20010212212241. The reversal of 20010212212221 is 12221221201002.

It is a happy number.

20010212212221 is a `hidden beast` number, since 20 + 0 + 1 + 0 + 212 + 212 + 221 = 666.

It is not a de Polignac number, because 20010212212221 - 29 = 20010212211709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20010212212194 and 20010212212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010212212241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10673731 + ... + 12407616.

It is an arithmetic number, because the mean of its divisors is an integer number (469197642144).

Almost surely, 220010212212221 is an apocalyptic number.

20010212212221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20010212212221 is a deficient number, since it is larger than the sum of its proper divisors (17525599159299).

20010212212221 is a wasteful number, since it uses less digits than its factorization.

20010212212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23081516 (or 23081507 counting only the distinct ones).

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

Adding to 20010212212221 its reverse (12221221201002), we get a palindrome (32231433413223).

The spelling of 20010212212221 in words is "twenty trillion, ten billion, two hundred twelve million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 139 189 231 297 417 567 693 891 973 1251 1529 2079 2919 3753 4587 6237 8757 10703 11259 13761 26271 32109 41283 78813 96327 123849 288981 866943 23081347 69244041 161569429 207732123 253894817 484708287 623196369 761684451 1454124861 1777263719 1869589107 2285053353 3208307233 4362374583 5331791157 6855160059 9624921699 13087123749 15995373471 20565480177 22458150631 28874765097 35291379563 47986120413 67374451893 86624295291 105874138689 143958361239 202123355679 247039656941 259872885873 317622416067 606370067037 741118970823 952867248201 1819110201111 2223356912469 2858601744603 6670070737407 20010212212221