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221001210200001 = 371143532113198673
BaseRepresentation
bin110010001111111111011010…
…101000001111111111000001
31001222111111202022201112000110
4302033333122220033333001
5212431340434302400001
62102010315424541533
764356545003535360
oct6217773250177701
91058444668645013
10221001210200001
11644660a5739470
12209536221818a9
13964142b49450a
143c80730d117d7
151a83b36a3e3d6
hexc8ffdaa0ffc1

221001210200001 has 128 divisors (see below), whose sum is σ = 383198393217024. Its totient is φ = 109967526789120.

The previous prime is 221001210199999. The next prime is 221001210200047. The reversal of 221001210200001 is 100002012100122.

It is not a de Polignac number, because 221001210200001 - 21 = 221001210199999 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221001210200001.

It is not an unprimeable number, because it can be changed into a prime (221001210200201) 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 127 ways as a sum of consecutive naturals, for example, 1112287401 + ... + 1112486073.

It is an arithmetic number, because the mean of its divisors is an integer number (2993737447008).

Almost surely, 2221001210200001 is an apocalyptic number.

221001210200001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221001210200001 is a deficient number, since it is larger than the sum of its proper divisors (162197183017023).

221001210200001 is a wasteful number, since it uses less digits than its factorization.

221001210200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200903.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221001210200001 its reverse (100002012100122), we get a palindrome (321003222300123).

The spelling of 221001210200001 in words is "two hundred twenty-one trillion, one billion, two hundred ten million, two hundred thousand, one".

Divisors: 1 3 7 11 21 33 43 53 77 129 159 231 301 371 473 583 903 1113 1419 1749 2113 2279 3311 4081 6339 6837 9933 12243 14791 15953 23243 25069 44373 47859 69729 75207 90859 111989 162701 175483 198673 272577 335967 488103 526449 596019 636013 783923 999449 1231879 1390711 1908039 2185403 2351769 2998347 3695637 4172133 4815527 6556209 6996143 8542939 8623153 10529669 14446581 15297821 20988429 25628817 25869459 31589007 33708689 45893463 52970797 59800573 73707683 93972329 101126067 115826359 158912391 179401719 221123049 281916987 347479077 370795579 419796049 452775767 657806303 810784513 1112386737 1259388147 1358327301 1973418909 2432353539 2938572343 3169430369 4617756539 4980533437 8815717029 9508291107 13853269617 14941600311 18051230107 22249190597 32324295773 34863734059 54153690321 66747571791 96972887319 104591202177 126358610749 155744334179 198563531177 244741096567 379075832247 467233002537 595690593531 734223289701 956715195671 1389944718239 1713187675969 2870145587013 4169834154717 5139563027907 6697006369697 10523867152381 20091019109091 31571601457143 73667070066667 221001210200001