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11022222000000 = 2735617108061
BaseRepresentation
bin1010000001100100111110…
…1000000111111110000000
31110000201021121021020112110
42200121033220013332000
52421042002313000000
635235312222055320
72215220636105331
oct240311750077600
943021247236473
1011022222000000
11356a552a74472
1212a021ba1a540
1361c511263b93
142a169a9c4288
15141aa753a850
hexa064fa07f80

11022222000000 has 448 divisors, whose sum is σ = 38749861807920. Its totient is φ = 2766336000000.

The previous prime is 11022221999977. The next prime is 11022222000001. The reversal of 11022222000000 is 22222011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 11022222000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022222000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 101945970 + ... + 102054030.

Almost surely, 211022222000000 is an apocalyptic number.

11022222000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11022222000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19374930903960).

11022222000000 is an abundant number, since it is smaller than the sum of its proper divisors (27727639807920).

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

11022222000000 is an frugal number, since it uses more digits than its factorization.

11022222000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108125 (or 108088 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 11022222000000 its reverse (22222011), we get a palindrome (11022244222011).

The spelling of 11022222000000 in words is "eleven trillion, twenty-two billion, two hundred twenty-two million", and thus it is an aban number.