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11000011122 = 23214933112391
BaseRepresentation
bin10100011111010011…
…01101100101110010
31001101121110110111100
422033221231211302
5140012000323442
65015304225230
7536406360162
oct121751554562
931347413440
1011000011122
114735246191
12216ba6b216
131063c2c729
14764cb45a2
15445a9284c
hex28fa6d972

11000011122 has 48 divisors (see below), whose sum is σ = 24067742400. Its totient is φ = 3630765600.

The previous prime is 11000011093. The next prime is 11000011129. The reversal of 11000011122 is 22111000011.

It is a happy number.

It is a super-3 number, since 3×110000111223 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11000011129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 881547 + ... + 893937.

It is an arithmetic number, because the mean of its divisors is an integer number (501411300).

Almost surely, 211000011122 is an apocalyptic number.

11000011122 is an abundant number, since it is smaller than the sum of its proper divisors (13067731278).

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

11000011122 is a wasteful number, since it uses less digits than its factorization.

11000011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12879 (or 12876 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11000011122 its reverse (22111000011), we get a palindrome (33111011133).

The spelling of 11000011122 in words is "eleven billion, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 149 298 331 447 662 894 993 1341 1986 2682 2979 5958 12391 24782 37173 49319 74346 98638 111519 147957 223038 295914 443871 887742 1846259 3692518 4101421 5538777 8202842 11077554 12304263 16616331 24608526 33232662 36912789 73825578 611111729 1222223458 1833335187 3666670374 5500005561 11000011122