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11202112100 = 2252112021121
BaseRepresentation
bin10100110111011001…
…01010101001100100
31001220200202020220202
422123230222221210
5140420220041400
65051324050032
7544412244644
oct123354525144
931820666822
1011202112100
114829333693
122207693918
131096a710ca
14783a82524
154586b44d5
hex29bb2aa64

11202112100 has 18 divisors (see below), whose sum is σ = 24308583474. Its totient is φ = 4480844800.

The previous prime is 11202112099. The next prime is 11202112111. The reversal of 11202112100 is 121120211.

11202112100 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 1159266304 + 10042845796 = 34048^2 + 100214^2 .

It is an unprimeable number.

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, 56010461 + ... + 56010660.

Almost surely, 211202112100 is an apocalyptic number.

11202112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11202112100 is an abundant number, since it is smaller than the sum of its proper divisors (13106471374).

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

11202112100 is a wasteful number, since it uses less digits than its factorization.

11202112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112021135 (or 112021128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11202112100 its reverse (121120211), we get a palindrome (11323232311).

The spelling of 11202112100 in words is "eleven billion, two hundred two million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 112021121 224042242 448084484 560105605 1120211210 2240422420 2800528025 5601056050 11202112100