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11020122221 = 101257457929
BaseRepresentation
bin10100100001101100…
…11011100001101101
31001110000022012201212
422100312123201231
5140032122402341
65021303244205
7540042331133
oct122066334155
931400265655
1011020122221
114745631a29
122176749665
1310681515a4
1476782b753
154477165eb
hex290d9b86d

11020122221 has 16 divisors (see below), whose sum is σ = 11209037040. Its totient is φ = 10833100800.

The previous prime is 11020122209. The next prime is 11020122233. The reversal of 11020122221 is 12222102011.

11020122221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11020122209) and next prime (11020122233).

It can be written as a sum of positive squares in 8 ways, for example, as 2577085225 + 8443036996 = 50765^2 + 91886^2 .

It is a cyclic number.

It is not a de Polignac number, because 11020122221 - 218 = 11019860077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11020122196 and 11020122205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020122241) 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 15 ways as a sum of consecutive naturals, for example, 11861885 + ... + 11862813.

It is an arithmetic number, because the mean of its divisors is an integer number (700564815).

Almost surely, 211020122221 is an apocalyptic number.

It is an amenable number.

11020122221 is a deficient number, since it is larger than the sum of its proper divisors (188914819).

11020122221 is a wasteful number, since it uses less digits than its factorization.

11020122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11020122221 its reverse (12222102011), we get a palindrome (23242224232).

The spelling of 11020122221 in words is "eleven billion, twenty million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 101 257 457 929 25957 46157 93829 117449 238753 424553 11862349 24114053 42879853 109110121 11020122221