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11123111132111 = 117871613796571
BaseRepresentation
bin1010000111011100110100…
…0101100111101111001111
31110101100200201222011202002
42201313031011213233033
52424220112422211421
635353515310222515
72225422030426616
oct241671505475717
943340621864662
1011123111132111
1135a93152896a0
1212b78974b4a3b
13628b9c0333a4
142a650bb7287d
1514450e856b0b
hexa1dcd167bcf

11123111132111 has 16 divisors (see below), whose sum is σ = 12157269118848. Its totient is φ = 10092796802400.

The previous prime is 11123111132011. The next prime is 11123111132117.

11123111132111 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11123111132111 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 (11123111132117) 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, 13565456 + ... + 14362026.

It is an arithmetic number, because the mean of its divisors is an integer number (759829319928).

Almost surely, 211123111132111 is an apocalyptic number.

11123111132111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11123111132111 is a deficient number, since it is larger than the sum of its proper divisors (1034157986737).

11123111132111 is a wasteful number, since it uses less digits than its factorization.

11123111132111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798982.

The product of its digits is 36, while the sum is 20.

It can be divided in two parts, 1112311 and 1132111, that added together give a palindrome (2244422).

The spelling of 11123111132111 in words is "eleven trillion, one hundred twenty-three billion, one hundred eleven million, one hundred thirty-two thousand, one hundred eleven".

Divisors: 1 11 787 1613 8657 17743 796571 1269431 8762281 13963741 626901377 1284869023 6895915147 14133559253 1011191921101 11123111132111