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11100011110001 = 111517351909091
BaseRepresentation
bin1010000110000110110000…
…1110000001111001110001
31110022011001212012110121122
42201201230032001321301
52423330310321010001
635335135200432025
72223643423453442
oct241415416017161
943264055173548
1011100011110001
11359a540993130
1212b330b318615
1362695a323658
142a5359c892c9
15143b0b88ab1b
hexa186c381e71

11100011110001 has 16 divisors (see below), whose sum is σ = 12190967356416. Its totient is φ = 10022717250000.

The previous prime is 11100011109973. The next prime is 11100011110033. The reversal of 11100011110001 is 10001111000111.

It is a cyclic number.

It is not a de Polignac number, because 11100011110001 - 238 = 10825133203057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11100011100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11755466 + ... + 12664556.

It is an arithmetic number, because the mean of its divisors is an integer number (761935459776).

Almost surely, 211100011110001 is an apocalyptic number.

11100011110001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11100011110001 is a deficient number, since it is larger than the sum of its proper divisors (1090956246415).

11100011110001 is a wasteful number, since it uses less digits than its factorization.

11100011110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916604.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11100011110001 its reverse (10001111000111), we get a palindrome (21101122110112).

It can be divided in two parts, 111000111 and 10001, that multiplied together give a palindrome (1110112110111).

The spelling of 11100011110001 in words is "eleven trillion, one hundred billion, eleven million, one hundred ten thousand, one".

Divisors: 1 11 151 1661 7351 80861 909091 1110001 10000001 12210011 137272741 1510000151 6682727941 73510007351 1009091919091 11100011110001