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11200113101 = 313478271259
BaseRepresentation
bin10100110111001010…
…00010100111001101
31001220112222200210202
422123211002213031
5140414212104401
65051213143245
7544356250652
oct123345024715
931815880722
1011200113101
114828198821
122206a8ab25
131096521278
147836c1c29
1545841c06b
hex29b9429cd

11200113101 has 16 divisors (see below), whose sum is σ = 11617966080. Its totient is φ = 10785941040.

The previous prime is 11200113091. The next prime is 11200113151. The reversal of 11200113101 is 10131100211.

It is a happy number.

11200113101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11200113101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200113151) 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 15 ways as a sum of consecutive naturals, for example, 8895410 + ... + 8896668.

It is an arithmetic number, because the mean of its divisors is an integer number (726122880).

Almost surely, 211200113101 is an apocalyptic number.

It is an amenable number.

11200113101 is a deficient number, since it is larger than the sum of its proper divisors (417852979).

11200113101 is a wasteful number, since it uses less digits than its factorization.

11200113101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 11200113101 its reverse (10131100211), we get a palindrome (21331213312).

The spelling of 11200113101 in words is "eleven billion, two hundred million, one hundred thirteen thousand, one hundred one".

Divisors: 1 31 347 827 1259 10757 25637 39029 286969 436873 1041193 8896039 13543063 32276983 361293971 11200113101