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11110012122 = 2311234744101
BaseRepresentation
bin10100101100011010…
…10101010011011010
31001200021110002111110
422112031111103122
5140223130341442
65034234041150
7542213354616
oct122615252332
931607402443
1011110012122
114791348600
1221a08791b6
131080965391
1477574a346
1545057069c
hex2963554da

11110012122 has 48 divisors (see below), whose sum is σ = 24494603616. Its totient is φ = 3356892000.

The previous prime is 11110012087. The next prime is 11110012127. The reversal of 11110012122 is 22121001111.

11110012122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11110012098 and 11110012107.

It is not an unprimeable number, because it can be changed into a prime (11110012127) 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 23 ways as a sum of consecutive naturals, for example, 229872 + ... + 273972.

It is an arithmetic number, because the mean of its divisors is an integer number (510304242).

Almost surely, 211110012122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11110012122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12247301808).

11110012122 is an abundant number, since it is smaller than the sum of its proper divisors (13384591494).

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

11110012122 is a wasteful number, since it uses less digits than its factorization.

11110012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44475 (or 44464 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11110012122 its reverse (22121001111), we get a palindrome (33231013233).

The spelling of 11110012122 in words is "eleven billion, one hundred ten million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 347 363 694 726 1041 2082 3817 7634 11451 22902 41987 44101 83974 88202 125961 132303 251922 264606 485111 970222 1455333 2910666 5336221 10672442 15303047 16008663 30606094 32017326 45909141 91818282 168333517 336667034 505000551 1010001102 1851668687 3703337374 5555006061 11110012122