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110111111011111 = 727019932011361
BaseRepresentation
bin11001000010010100111101…
…101010000101101100100111
3112102212112000122111222012211
4121002110331222011230213
5103413030023404323421
61030104202430224251
732123156656523500
oct3102247552055447
9472775018458184
10110111111011111
11320a2950636401
1210424330355087
134959582a05b92
141d295988cbba7
15cae3991189e1
hex64253da85b27

110111111011111 has 12 divisors (see below), whose sum is σ = 128090263906800. Its totient is φ = 94379604869760.

The previous prime is 110111111011063. The next prime is 110111111011189. The reversal of 110111111011111 is 111110111111011.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-110111111011111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110111111011091 and 110111111011100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110111111011411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12565930 + ... + 19445431.

It is an arithmetic number, because the mean of its divisors is an integer number (10674188658900).

Almost surely, 2110111111011111 is an apocalyptic number.

110111111011111 is a deficient number, since it is larger than the sum of its proper divisors (17979152895689).

110111111011111 is an equidigital number, since it uses as much as digits as its factorization.

110111111011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32081574 (or 32081567 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 13.

Adding to 110111111011111 its reverse (111110111111011), we get a palindrome (221221222122122).

It can be divided in two parts, 110111111011 and 111, that multiplied together give a palindrome (12222333322221).

The spelling of 110111111011111 in words is "one hundred ten trillion, one hundred eleven billion, one hundred eleven million, eleven thousand, one hundred eleven".

Divisors: 1 7 49 70199 491393 3439751 32011361 224079527 1568556689 2247165530839 15730158715873 110111111011111