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11140122104111 = 7111311128993111
BaseRepresentation
bin1010001000011100001100…
…0001010101000100101111
31110102222121021010002102002
42202013003001111010233
52430004432224312421
635405411302322515
72226563416336310
oct242070301250457
943388537102362
1011140122104111
113605554561740
1212bb04442943b
1362a6803988b0
142a72830aa607
15144ba7e99b0b
hexa21c305512f

11140122104111 has 16 divisors (see below), whose sum is σ = 14957366742528. Its totient is φ = 8012875039200.

The previous prime is 11140122104107. The next prime is 11140122104119.

11140122104111 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11140122104111 - 22 = 11140122104107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11140122104119) 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, 5564495555 + ... + 5564497556.

It is an arithmetic number, because the mean of its divisors is an integer number (934835421408).

Almost surely, 211140122104111 is an apocalyptic number.

11140122104111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11140122104111 is a deficient number, since it is larger than the sum of its proper divisors (3817244638417).

11140122104111 is a wasteful number, since it uses less digits than its factorization.

11140122104111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11128993142.

The product of its (nonzero) digits is 64, while the sum is 20.

It can be divided in two parts, 1114012 and 2104111, that added together give a palindrome (3218123).

The spelling of 11140122104111 in words is "eleven trillion, one hundred forty billion, one hundred twenty-two million, one hundred four thousand, one hundred eleven".

Divisors: 1 7 11 13 77 91 143 1001 11128993111 77902951777 122418924221 144676910443 856932469547 1012738373101 1591446014873 11140122104111