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2112221201211 = 3211313132198863
BaseRepresentation
bin11110101111001010001…
…100011100001100111011
321110221000022211112120200
4132233022030130030323
5234101312111414321
64254201354453243
7305413544655552
oct36571214341473
97427008745520
102112221201211
11744873891280
122a1442734223
13124248ca6a04
1474336a6cd99
1539e250cdd26
hex1ebca31c33b

2112221201211 has 48 divisors (see below), whose sum is σ = 3446692933632. Its totient is φ = 1234880899200.

The previous prime is 2112221201173. The next prime is 2112221201239. The reversal of 2112221201211 is 1121021222112.

2112221201211 is a `hidden beast` number, since 21 + 12 + 221 + 201 + 211 = 666.

It is not a de Polignac number, because 2112221201211 - 29 = 2112221200699 is a prime.

It is a super-3 number, since 3×21122212012113 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2112221211211) 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 47 ways as a sum of consecutive naturals, for example, 138835 + ... + 2060028.

It is an arithmetic number, because the mean of its divisors is an integer number (71806102784).

Almost surely, 22112221201211 is an apocalyptic number.

2112221201211 is a deficient number, since it is larger than the sum of its proper divisors (1334471732421).

2112221201211 is a wasteful number, since it uses less digits than its factorization.

2112221201211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199224 (or 2199221 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2112221201211 its reverse (1121021222112), we get a palindrome (3233242423323).

The spelling of 2112221201211 in words is "two trillion, one hundred twelve billion, two hundred twenty-one million, two hundred one thousand, two hundred eleven".

Divisors: 1 3 9 11 31 33 93 99 279 313 341 939 1023 2817 3069 3443 9703 10329 29109 30987 87327 106733 320199 960597 2198863 6596589 19789767 24187493 68164753 72562479 204494259 217687437 613482777 688244119 749812283 2064732357 2249436849 6194197071 6748310547 7570685309 21335567689 22712055927 64006703067 68136167781 192020109201 234691244579 704073733737 2112221201211