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11222200100 = 2252112222001
BaseRepresentation
bin10100111001110010…
…10010111100100100
31001222002112211110202
422130321102330210
5140440340400400
65053322410032
7545045061356
oct123471227444
931862484422
1011222200100
114839704041
122212360918
13109ac855b7
147865d10d6
1545a3314d5
hex29ce52f24

11222200100 has 18 divisors (see below), whose sum is σ = 24352174434. Its totient is φ = 4488880000.

The previous prime is 11222200091. The next prime is 11222200103. The reversal of 11222200100 is 100222211.

It is a happy number.

11222200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3614173924 + 7608026176 = 60118^2 + 87224^2 .

It is not an unprimeable number, because it can be changed into a prime (11222200103) 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 5 ways as a sum of consecutive naturals, for example, 56110901 + ... + 56111100.

Almost surely, 211222200100 is an apocalyptic number.

11222200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11222200100 is an abundant number, since it is smaller than the sum of its proper divisors (13129974334).

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

11222200100 is a wasteful number, since it uses less digits than its factorization.

11222200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112222015 (or 112222008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11222200100 its reverse (100222211), we get a palindrome (11322422311).

The spelling of 11222200100 in words is "eleven billion, two hundred twenty-two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 112222001 224444002 448888004 561110005 1122220010 2244440020 2805550025 5611100050 11222200100