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221222122000011 = 321153158326634011
BaseRepresentation
bin110010010011001101001001…
…111111111000111010001011
31002000021121222001020201020100
4302103031021333320322023
5212444000401213000021
62102300012335300443
764411525261052346
oct6223151177707213
91060247861221210
10221222122000011
1164540858690510
122098a3b507a723
139659206056942
143c8b2ca42745d
151a89765cdc626
hexc93349ff8e8b

221222122000011 has 48 divisors (see below), whose sum is σ = 355394028667392. Its totient is φ = 131461211918400.

The previous prime is 221222121999979. The next prime is 221222122000039. The reversal of 221222122000011 is 110000221222122.

It is a happy number.

221222122000011 is a `hidden beast` number, since 2 + 212 + 221 + 220 + 0 + 0 + 0 + 11 = 666.

It is not a de Polignac number, because 221222122000011 - 25 = 221222121999979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221222122004011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5011005 + ... + 21623006.

It is an arithmetic number, because the mean of its divisors is an integer number (7404042263904).

Almost surely, 2221222122000011 is an apocalyptic number.

221222122000011 is a deficient number, since it is larger than the sum of its proper divisors (134171906667381).

221222122000011 is a wasteful number, since it uses less digits than its factorization.

221222122000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26635664 (or 26635661 counting only the distinct ones).

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

Adding to 221222122000011 its reverse (110000221222122), we get a palindrome (331222343222133).

The spelling of 221222122000011 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, one hundred twenty-two million, eleven", and thus it is an aban number.

Divisors: 1 3 9 11 33 53 99 159 477 583 1583 1749 4749 5247 14247 17413 52239 83899 156717 251697 755091 922889 2768667 8306001 26634011 79902033 239706099 292974121 878922363 1411602583 2636767089 4234807749 12704423247 15527628413 42161639413 46582885239 126484918239 139748655717 379454754717 463778033543 1391334100629 2234566888889 4174002301887 6703700666667 20111102000001 24580235777779 73740707333337 221222122000011