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22000111211221 = 11131912113817447
BaseRepresentation
bin1010000000010010011001…
…10100000101001011010101
32212220012010120120110201221
411000021030310011023111
510340422211432224341
6114442413410450341
74430312156554633
oct500111464051325
985805116513657
1022000111211221
117012216267520
1225739288939b1
13c377a88b5860
14560b4d7ba353
152824179ceed1
hex14024cd052d5

22000111211221 has 32 divisors (see below), whose sum is σ = 26104747769856. Its totient is φ = 18277931448000.

The previous prime is 22000111211219. The next prime is 22000111211237. The reversal of 22000111211221 is 12211211100022.

It is a cyclic number.

It is not a de Polignac number, because 22000111211221 - 21 = 22000111211219 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22000111211195 and 22000111211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000111911221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3854320 + ... + 7671766.

It is an arithmetic number, because the mean of its divisors is an integer number (815773367808).

Almost surely, 222000111211221 is an apocalyptic number.

It is an amenable number.

22000111211221 is a deficient number, since it is larger than the sum of its proper divisors (4104636558635).

22000111211221 is a wasteful number, since it uses less digits than its factorization.

22000111211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3817873.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22000111211221 its reverse (12211211100022), we get a palindrome (34211322311243).

The spelling of 22000111211221 in words is "twenty-two trillion, one hundred eleven million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 11 13 143 191 211 2101 2321 2483 2743 27313 30173 40301 443311 523913 3817447 5763043 41991917 49626811 545894921 729132377 805481317 8020456147 8860294487 9478720901 10471257121 104265929911 115183828331 153846931547 1692316247017 2000010110111 22000111211221