Search a number
-
+
11121412100 = 2252111214121
BaseRepresentation
bin10100101101110001…
…10100100000000100
31001201001220021022212
422112320310200010
5140234040141400
65035322242552
7542412304661
oct122670644004
931631807285
1011121412100
114797824577
1221a4656458
131083127226
14777076a68
15451573335
hex296e34804

11121412100 has 18 divisors (see below), whose sum is σ = 24133464474. Its totient is φ = 4448564800.

The previous prime is 11121412079. The next prime is 11121412153. The reversal of 11121412100 is 121412111.

It can be written as a sum of positive squares in 3 ways, for example, as 1550311876 + 9571100224 = 39374^2 + 97832^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55606961 + ... + 55607160.

Almost surely, 211121412100 is an apocalyptic number.

11121412100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121412100 is an abundant number, since it is smaller than the sum of its proper divisors (13012052374).

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

11121412100 is a wasteful number, since it uses less digits than its factorization.

11121412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111214135 (or 111214128 counting only the distinct ones).

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

Adding to 11121412100 its reverse (121412111), we get a palindrome (11242824211).

The spelling of 11121412100 in words is "eleven billion, one hundred twenty-one million, four hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 111214121 222428242 444856484 556070605 1112141210 2224282420 2780353025 5560706050 11121412100