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11120022221 = 7211232293917
BaseRepresentation
bin10100101101100111…
…00001001011001101
31001200222021122202212
422112303201023031
5140233211202341
65035232400205
7542364425600
oct122663411315
931628248685
1011120022221
114796a65310
1221a40a6065
131082a5b709
14776bd4337
1545139b5eb
hex296ce12cd

11120022221 has 48 divisors (see below), whose sum is σ = 14793114240. Its totient is φ = 8249915520.

The previous prime is 11120022163. The next prime is 11120022241. The reversal of 11120022221 is 12222002111.

11120022221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11120022221 - 26 = 11120022157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11120022196 and 11120022205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120022241) 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 47 ways as a sum of consecutive naturals, for example, 2836955 + ... + 2840871.

It is an arithmetic number, because the mean of its divisors is an integer number (308189880).

Almost surely, 211120022221 is an apocalyptic number.

11120022221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11120022221 is a deficient number, since it is larger than the sum of its proper divisors (3673092019).

11120022221 is a wasteful number, since it uses less digits than its factorization.

11120022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 4187 counting only the distinct ones).

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

Adding to 11120022221 its reverse (12222002111), we get a palindrome (23342024332).

The spelling of 11120022221 in words is "eleven billion, one hundred twenty million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 7 11 23 49 77 161 229 253 539 1127 1603 1771 2519 3917 5267 11221 12397 17633 27419 36869 43087 57937 90091 123431 191933 258083 301609 405559 630637 896993 991001 2111263 2838913 4414459 6278951 6937007 9866923 20630839 43952657 48559049 69068461 144415873 226939229 483479227 1010911111 1588574603 11120022221