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221012220020202 = 233131033056623517
BaseRepresentation
bin110010010000001001101010…
…110111011000010111101010
31001222112120011121122100001000
4302100021222313120113222
5212432031011311121302
62102015340123335430
764360414562501502
oct6220115267302752
91058476147570030
10221012220020202
116446a835474326
1220955795381576
139642494449920
143c8109721aa02
151a8407d3bd31c
hexc9026add85ea

221012220020202 has 64 divisors (see below), whose sum is σ = 534053261064960. Its totient is φ = 67343529304512.

The previous prime is 221012220020201. The next prime is 221012220020243. The reversal of 221012220020202 is 202020022210122.

221012220020202 is a `hidden beast` number, since 2 + 210 + 12 + 220 + 0 + 20 + 202 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (221012220020201) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1528239453 + ... + 1528384064.

It is an arithmetic number, because the mean of its divisors is an integer number (8344582204140).

Almost surely, 2221012220020202 is an apocalyptic number.

221012220020202 is an abundant number, since it is smaller than the sum of its proper divisors (313041041044758).

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

221012220020202 is a wasteful number, since it uses less digits than its factorization.

221012220020202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056623644 (or 3056623638 counting only the distinct ones).

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

Adding to 221012220020202 its reverse (202020022210122), we get a palindrome (423032242230324).

The spelling of 221012220020202 in words is "two hundred twenty-one trillion, twelve billion, two hundred twenty million, twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 103 117 206 234 309 351 618 702 927 1339 1854 2678 2781 4017 5562 8034 12051 24102 36153 72306 3056623517 6113247034 9169870551 18339741102 27509611653 39736105721 55019223306 79472211442 82528834959 119208317163 165057669918 238416634326 314832222251 357624951489 629664444502 715249902978 944496666753 1072874854467 1888993333506 2145749708934 2833490000259 4092818889263 5666980000518 8185637778526 8500470000777 12278456667789 17000940001554 24556913335578 36835370003367 73670740006734 110506110010101 221012220020202