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221001220010112 = 2731143750321239
BaseRepresentation
bin110010001111111111011011…
…001101101011000010000000
31001222111111210000011220221220
4302033333123031223002000
5212431340444310310422
62102010320415115040
764356545153114313
oct6217773315530200
91058444700156856
10221001220010112
11644661002299a3
1220953625512a80
13964143051a809
143c8073234697a
151a83b3782ae5c
hexc8ffdb36b080

221001220010112 has 64 divisors (see below), whose sum is σ = 587085829982400. Its totient is φ = 73660630754304.

The previous prime is 221001220010111. The next prime is 221001220010149. The reversal of 221001220010112 is 211010022100122.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 221001220010091 and 221001220010100.

It is not an unprimeable number, because it can be changed into a prime (221001220010111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20768812 + ... + 29552427.

It is an arithmetic number, because the mean of its divisors is an integer number (9173216093475).

Almost surely, 2221001220010112 is an apocalyptic number.

It is an amenable number.

221001220010112 is an abundant number, since it is smaller than the sum of its proper divisors (366084609972288).

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

221001220010112 is a wasteful number, since it uses less digits than its factorization.

221001220010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50332693 (or 50332681 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221001220010112 its reverse (211010022100122), we get a palindrome (432011242110234).

The spelling of 221001220010112 in words is "two hundred twenty-one trillion, one billion, two hundred twenty million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 11437 22874 34311 45748 68622 91496 137244 182992 274488 365984 548976 731968 1097952 1463936 2195904 4391808 50321239 100642478 150963717 201284956 301927434 402569912 603854868 805139824 1207709736 1610279648 2415419472 3220559296 4830838944 6441118592 9661677888 19323355776 575524010443 1151048020886 1726572031329 2302096041772 3453144062658 4604192083544 6906288125316 9208384167088 13812576250632 18416768334176 27625152501264 36833536668352 55250305002528 73667073336704 110500610005056 221001220010112