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11221222122 = 23211194371977
BaseRepresentation
bin10100111001101011…
…00100001011101010
31001222000201010221100
422130311210023222
5140440113101442
65053245422230
7545033546205
oct123465441352
931860633840
1011221222122
1148390a62a0
122211b6a976
13109aa02406
1478641893c
1545a1db84c
hex29cd642ea

11221222122 has 192 divisors, whose sum is σ = 29000125440. Its totient is φ = 3098995200.

The previous prime is 11221222073. The next prime is 11221222123. The reversal of 11221222122 is 22122212211.

It is a happy number.

11221222122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112212221222 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11221222095 and 11221222104.

It is not an unprimeable number, because it can be changed into a prime (11221222123) 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 95 ways as a sum of consecutive naturals, for example, 11484898 + ... + 11485874.

It is an arithmetic number, because the mean of its divisors is an integer number (151042320).

Almost surely, 211221222122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14500062720).

11221222122 is an abundant number, since it is smaller than the sum of its proper divisors (17778903318).

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

11221222122 is a wasteful number, since it uses less digits than its factorization.

11221222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1126 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

Adding to 11221222122 its reverse (22122212211), we get a palindrome (33343434333).

It can be divided in two parts, 11 and 221222122, that multiplied together give a palindrome (2433443342).

The spelling of 11221222122 in words is "eleven billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty-two".