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21202222121112 = 23317599723338971
BaseRepresentation
bin1001101001000100001101…
…11010110000000010011000
32210001220122022111001202010
410310202012322300002120
510234334122330333422
6113032055534305520
74315544554316064
oct464420672600230
983056568431663
1021202222121112
1168348a271265a
1224651713582a0
13baa490076ab6
1453429b940aa4
1526b7b9bacb0c
hex134886eb0098

21202222121112 has 256 divisors, whose sum is σ = 57912142579200. Its totient is φ = 6443585372160.

The previous prime is 21202222121111. The next prime is 21202222121219. The reversal of 21202222121112 is 21112122220212.

It is a super-3 number, since 3×212022221211123 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202222121111) 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 63 ways as a sum of consecutive naturals, for example, 544031787 + ... + 544070757.

It is an arithmetic number, because the mean of its divisors is an integer number (226219306950).

Almost surely, 221202222121112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21202222121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28956071289600).

21202222121112 is an abundant number, since it is smaller than the sum of its proper divisors (36709920458088).

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

21202222121112 is a wasteful number, since it uses less digits than its factorization.

21202222121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39386 (or 39382 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 21202222121112 its reverse (21112122220212), we get a palindrome (42314344341324).

The spelling of 21202222121112 in words is "twenty-one trillion, two hundred two billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred twelve".