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12118100 = 2252121181
BaseRepresentation
bin101110001110…
…100001010100
3211210122220112
4232032201110
511100234400
61111422152
7205000511
oct56164124
924718815
1012118100
116927565
124084958
132683997
141876308
1510e5835
hexb8e854

12118100 has 18 divisors (see below), whose sum is σ = 26296494. Its totient is φ = 4847200.

The previous prime is 12118087. The next prime is 12118103. The reversal of 12118100 is 181121.

It can be written as a sum of positive squares in 3 ways, for example, as 2208196 + 9909904 = 1486^2 + 3148^2 .

It is a super-2 number, since 2×121181002 = 293696695220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12118103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60491 + ... + 60690.

Almost surely, 212118100 is an apocalyptic number.

12118100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12118100 is an abundant number, since it is smaller than the sum of its proper divisors (14178394).

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

12118100 is a wasteful number, since it uses less digits than its factorization.

12118100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121195 (or 121188 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

The square root of 12118100 is about 3481.1061460404. The cubic root of 12118100 is about 229.6914577349.

Adding to 12118100 its reverse (181121), we get a palindrome (12299221).

The spelling of 12118100 in words is "twelve million, one hundred eighteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 121181 242362 484724 605905 1211810 2423620 3029525 6059050 12118100