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21220122111111 = 32711295917896357
BaseRepresentation
bin1001101001100101100011…
…10101110010110010000111
32210010121211210110202211200
410310302301311302302013
510240132302230023421
6113044220045233543
74320050256604620
oct464626165626207
983117753422750
1021220122111111
1168414487a7020
122468727b628b3
13bac08365c161
145350b8d76a47
1526beb63ad726
hex134cb1d72c87

21220122111111 has 96 divisors (see below), whose sum is σ = 40202378611200. Its totient is φ = 10462925571840.

The previous prime is 21220122111109. The next prime is 21220122111119. The reversal of 21220122111111 is 11111122102212.

It is a happy number.

It is not a de Polignac number, because 21220122111111 - 21 = 21220122111109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220122111119) 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 95 ways as a sum of consecutive naturals, for example, 7762456 + ... + 10133901.

It is an arithmetic number, because the mean of its divisors is an integer number (418774777200).

Almost surely, 221220122111111 is an apocalyptic number.

21220122111111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21220122111111 is a deficient number, since it is larger than the sum of its proper divisors (18982256500089).

21220122111111 is a wasteful number, since it uses less digits than its factorization.

21220122111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17896469 (or 17896466 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21220122111111 its reverse (11111122102212), we get a palindrome (32331244213323).

The spelling of 21220122111111 in words is "twenty-one trillion, two hundred twenty billion, one hundred twenty-two million, one hundred eleven thousand, one hundred eleven".

Divisors: 1 3 7 9 11 21 29 33 59 63 77 87 99 177 203 231 261 319 413 531 609 649 693 957 1239 1711 1827 1947 2233 2871 3717 4543 5133 5841 6699 11977 13629 15399 18821 20097 35931 40887 56463 107793 131747 169389 395241 1185723 17896357 53689071 125274499 161067213 196859927 375823497 518994353 590579781 1055885063 1127470491 1378019489 1556983059 1771739343 3167655189 3632960471 4134058467 4670949177 5708937883 7391195441 9502965567 10898881413 11614735693 12402175401 17126813649 22173586323 30620666827 32696644239 34844207079 39962565181 51380440947 66520758969 81303149851 91862000481 104532621237 119887695543 214344667789 243909449553 275586001443 336827335097 359663086629 643034003367 731728348659 1010482005291 1929102010101 2357791345679 3031446015873 7073374037037 21220122111111