Search a number
-
+
111100110110111 = 2931718232114933
BaseRepresentation
bin11001010000101110000010…
…100110001111110110011111
3112120101001210200210201112002
4121100232002212033312133
5104030231011142010421
61032142404101232515
732254501204255043
oct3120560246176637
9476331720721462
10111100110110111
1132444323868581
1210563b4210273b
1349cb906b1cc35
141d613b9cac023
15cc9e7ebb3b0b
hex650b8298fd9f

111100110110111 has 32 divisors (see below), whose sum is σ = 120455812177920. Its totient is φ = 102222277315200.

The previous prime is 111100110110081. The next prime is 111100110110149. The reversal of 111100110110111 is 111011011001111.

Adding to 111100110110111 its reverse (111011011001111), we get a palindrome (222111121111222).

It is a cyclic number.

It is not a de Polignac number, because 111100110110111 - 226 = 111100043001247 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111100110110092 and 111100110110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111100110110411) 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, 51473801 + ... + 53588733.

It is an arithmetic number, because the mean of its divisors is an integer number (3764244130560).

Almost surely, 2111100110110111 is an apocalyptic number.

111100110110111 is a deficient number, since it is larger than the sum of its proper divisors (9355702067809).

111100110110111 is a wasteful number, since it uses less digits than its factorization.

111100110110111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115887.

The product of its (nonzero) digits is 1, while the sum is 11.

The spelling of 111100110110111 in words is "one hundred eleven trillion, one hundred billion, one hundred ten million, one hundred ten thousand, one hundred eleven".

Divisors: 1 29 31 71 823 899 2059 2201 23867 25513 58433 63829 739877 1694557 1811423 2114933 52531267 61333057 65562923 150160243 1740589859 1901324767 4354647047 4654967533 50477105911 53958285629 123581879989 134994058457 1564790283241 3583874519681 3831038279659 111100110110111