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11221020112 = 242924183233
BaseRepresentation
bin10100111001101001…
…10010110111010000
31001222000022212211111
422130310302313100
5140440040120422
65053241223104
7545032045231
oct123464626720
931860285744
1011221020112
114838a78545
122211a91a94
13109a961493
147863a5088
1545a19ba77
hex29cd32dd0

11221020112 has 20 divisors (see below), whose sum is σ = 22490407620. Its totient is φ = 5417043968.

The previous prime is 11221020011. The next prime is 11221020137. The reversal of 11221020112 is 21102012211.

11221020112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8424302656 + 2796717456 = 91784^2 + 52884^2 .

It is a super-2 number, since 2×112210201122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11221020092 and 11221020101.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 12091153 + ... + 12092080.

It is an arithmetic number, because the mean of its divisors is an integer number (1124520381).

Almost surely, 211221020112 is an apocalyptic number.

It is an amenable number.

11221020112 is an abundant number, since it is smaller than the sum of its proper divisors (11269387508).

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

11221020112 is a wasteful number, since it uses less digits than its factorization.

11221020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24183270 (or 24183264 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11221020112 its reverse (21102012211), we get a palindrome (32323032323).

The spelling of 11221020112 in words is "eleven billion, two hundred twenty-one million, twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 232 464 24183233 48366466 96732932 193465864 386931728 701313757 1402627514 2805255028 5610510056 11221020112