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11120122208 = 251383443727
BaseRepresentation
bin10100101101100111…
…11001100101100000
31001200222110201221002
422112303321211200
5140233222402313
65035234451132
7542365323236
oct122663714540
931628421832
1011120122208
114797023448
1221a4133aa8
131082a95090
14776c1c956
154513bb058
hex296cf9960

11120122208 has 96 divisors (see below), whose sum is σ = 23947612416. Its totient is φ = 5052123648.

The previous prime is 11120122201. The next prime is 11120122217. The reversal of 11120122208 is 80222102111.

11120122208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11120122208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120122201) 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, 15295541 + ... + 15296267.

It is an arithmetic number, because the mean of its divisors is an integer number (249454296).

Almost surely, 211120122208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120122208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11973806208).

11120122208 is an abundant number, since it is smaller than the sum of its proper divisors (12827490208).

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

11120122208 is a wasteful number, since it uses less digits than its factorization.

11120122208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 11120122208 its reverse (80222102111), we get a palindrome (91342224319).

The spelling of 11120122208 in words is "eleven billion, one hundred twenty million, one hundred twenty-two thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 83 104 166 208 332 416 443 664 727 886 1079 1328 1454 1772 2158 2656 2908 3544 4316 5759 5816 7088 8632 9451 11518 11632 14176 17264 18902 23036 23264 34528 36769 37804 46072 60341 73538 75608 92144 120682 147076 151216 184288 241364 294152 302432 322061 477997 482728 588304 644122 784433 955994 965456 1176608 1288244 1568866 1911988 1930912 2576488 3137732 3823976 4186793 5152976 6275464 7647952 8373586 10305952 12550928 15295904 16747172 25101856 26731063 33494344 53462126 66988688 106924252 133977376 213848504 347503819 427697008 695007638 855394016 1390015276 2780030552 5560061104 11120122208