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11116010101 = 722331318173
BaseRepresentation
bin10100101101001000…
…01101101001110101
31001200200201211011211
422112210031221311
5140231144310401
65035010401421
7542315345500
oct122644155165
931620654154
1011116010101
114794774a09
1221a2890271
131081c85491
1477646c137
15450d57951
hex29690da75

11116010101 has 24 divisors (see below), whose sum is σ = 13928385024. Its totient is φ = 8819727840.

The previous prime is 11116010069. The next prime is 11116010119. The reversal of 11116010101 is 10101061111.

11116010101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11116010101 - 25 = 11116010069 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 (11116010501) 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 23 ways as a sum of consecutive naturals, for example, 124150 + ... + 194023.

It is an arithmetic number, because the mean of its divisors is an integer number (580349376).

Almost surely, 211116010101 is an apocalyptic number.

It is an amenable number.

11116010101 is a deficient number, since it is larger than the sum of its proper divisors (2812374923).

11116010101 is a wasteful number, since it uses less digits than its factorization.

11116010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318241 (or 318234 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 11116010101 its reverse (10101061111), we get a palindrome (21217071212).

The spelling of 11116010101 in words is "eleven billion, one hundred sixteen million, ten thousand, one hundred one".

Divisors: 1 7 23 31 49 161 217 713 1127 1519 4991 34937 318173 2227211 7317979 9863363 15590477 51225853 69043541 226857349 358580971 483304787 1588001443 11116010101