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10011104401111 = 1117257208308629
BaseRepresentation
bin1001000110101110010001…
…0100100101011011010111
31022110001102002010021110121
42101223210110211123113
52303010220211313421
633143012102532411
72052164333242462
oct221534424453327
938401362107417
1010011104401111
11320a75a499a20
121158276737107
135780738a7978
1426877bc182d9
15125629c55d41
hex91ae45256d7

10011104401111 has 16 divisors (see below), whose sum is σ = 11608623332640. Its totient is φ = 8532321402880.

The previous prime is 10011104401063. The next prime is 10011104401121. The reversal of 10011104401111 is 11110440111001.

10011104401111 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 10011104401111 - 211 = 10011104399063 is a prime.

It is a super-2 number, since 2×100111044011112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011104401121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104106256 + ... + 104202373.

It is an arithmetic number, because the mean of its divisors is an integer number (725538958290).

Almost surely, 210011104401111 is an apocalyptic number.

10011104401111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10011104401111 is a deficient number, since it is larger than the sum of its proper divisors (1597518931529).

10011104401111 is a wasteful number, since it uses less digits than its factorization.

10011104401111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208308914.

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

Adding to 10011104401111 its reverse (11110440111001), we get a palindrome (21121544512112).

The spelling of 10011104401111 in words is "ten trillion, eleven billion, one hundred four million, four hundred one thousand, one hundred eleven".

Divisors: 1 11 17 187 257 2827 4369 48059 208308629 2291394919 3541246693 38953713623 53535317653 588888494183 910100400101 10011104401111