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11112111121111 = 7111323814662331
BaseRepresentation
bin1010000110110011110101…
…1011111010001011010111
31110100022022010111201102021
42201230331123322023113
52424030100421333421
635344500001554011
72224552321036660
oct241547533721327
943308263451367
1011112111121111
1135a4690043610
1212b5727645907
13627b38103a40
142a5b86c9c367
151440b8cb4341
hexa1b3d6fa2d7

11112111121111 has 32 divisors (see below), whose sum is σ = 14926026963456. Its totient is φ = 7989368688000.

The previous prime is 11112111121091. The next prime is 11112111121121.

11112111121111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11112111121111 - 237 = 10974672167639 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112111121121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52216 + ... + 4714546.

It is an arithmetic number, because the mean of its divisors is an integer number (466438342608).

Almost surely, 211112111121111 is an apocalyptic number.

11112111121111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11112111121111 is a deficient number, since it is larger than the sum of its proper divisors (3813915842345).

11112111121111 is a wasteful number, since it uses less digits than its factorization.

11112111121111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4664743.

The product of its digits is 4, while the sum is 16.

It can be divided in two parts, 1111211 and 1121111, that added together give a palindrome (2232322).

The spelling of 11112111121111 in words is "eleven trillion, one hundred twelve billion, one hundred eleven million, one hundred twenty-one thousand, one hundred eleven".

Divisors: 1 7 11 13 77 91 143 1001 2381 16667 26191 30953 183337 216671 340483 2383381 4662331 32636317 51285641 60610303 358999487 424272121 666713333 4666993331 11101010111 77707070777 122111111221 144313131443 854777778547 1010191920101 1587444445873 11112111121111