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212201022210021 = 321319372719520001
BaseRepresentation
bin110000001111111011100110…
…100011001011111111100101
31000211100012221002110111101200
4300033323212203023333211
5210303200143141210041
62031151445343113113
762461006102040265
oct6017734643137745
91024305832414350
10212201022210021
1161682a47a71919
121b971b90ba2799
1391536169b3120
143a588273737a5
15197ec800511b6
hexc0fee68cbfe5

212201022210021 has 96 divisors (see below), whose sum is σ = 358171416046080. Its totient is φ = 119924582400000.

The previous prime is 212201022209989. The next prime is 212201022210029. The reversal of 212201022210021 is 120012220102212.

It is a happy number.

212201022210021 is a `hidden beast` number, since 212 + 201 + 0 + 22 + 210 + 0 + 21 = 666.

It is not a de Polignac number, because 212201022210021 - 25 = 212201022209989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212201022209976 and 212201022210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201022210029) 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 95 ways as a sum of consecutive naturals, for example, 17530021 + ... + 27050021.

It is an arithmetic number, because the mean of its divisors is an integer number (3730952250480).

Almost surely, 2212201022210021 is an apocalyptic number.

It is an amenable number.

212201022210021 is a deficient number, since it is larger than the sum of its proper divisors (145970393836059).

212201022210021 is a wasteful number, since it uses less digits than its factorization.

212201022210021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9520347 (or 9520344 counting only the distinct ones).

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

Adding to 212201022210021 its reverse (120012220102212), we get a palindrome (332213242312233).

The spelling of 212201022210021 in words is "two hundred twelve trillion, two hundred one billion, twenty-two million, two hundred ten thousand, twenty-one".

Divisors: 1 3 9 13 19 37 39 57 111 117 171 247 271 333 481 703 741 813 1443 2109 2223 2439 3523 4329 5149 6327 9139 10027 10569 15447 27417 30081 31707 46341 66937 82251 90243 130351 190513 200811 391053 571539 602433 1173159 1714617 2476669 7430007 9520001 22290021 28560003 85680009 123760013 180880019 352240037 371280039 542640057 1056720111 1113840117 1627920171 2351440247 2579920271 3170160333 4579120481 6692560703 7054320741 7739760813 13737361443 20077682109 21162962223 23219282439 33538963523 41212084329 49018485149 60233046327 87003289139 95457050027 100616890569 147055455447 261009867417 286371150081 301850671707 441166366341 637240306937 783029602251 859113450243 1240941650351 1813683950513 1911720920811 3722824951053 5441051851539 5735162762433 11168474853159 16323155554617 23577891356669 70733674070007 212201022210021