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221101102220000 = 2554313111146671
BaseRepresentation
bin110010010001011100011100…
…101010000100001011100000
31001222212001120222011220112212
4302101130130222010023200
5212440010024132020000
62102124235533341252
764400012266644362
oct6221343452041340
91058761528156485
10221101102220000
11644a44a61225a2
122096aa5b937828
13964a98a7c8162
143c854c98a4d32
151a86531549c35
hexc9171ca842e0

221101102220000 has 240 divisors, whose sum is σ = 563294308921344. Its totient is φ = 85312248000000.

The previous prime is 221101102219999. The next prime is 221101102220107. The reversal of 221101102220000 is 22201101122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 192246665 + ... + 193393335.

Almost surely, 2221101102220000 is an apocalyptic number.

221101102220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221101102220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281647154460672).

221101102220000 is an abundant number, since it is smaller than the sum of its proper divisors (342193206701344).

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

221101102220000 is a wasteful number, since it uses less digits than its factorization.

221101102220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147043 (or 1147020 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221101102220000 its reverse (22201101122), we get a palindrome (221123303321122).

The spelling of 221101102220000 in words is "two hundred twenty-one trillion, one hundred one billion, one hundred two million, two hundred twenty thousand".