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111110013 = 3271763651
BaseRepresentation
bin1101001111101…
…10011101111101
321202001222021200
412213312131331
5211421010023
615005250113
72516263620
oct647663575
9252058250
10111110013
115779a663
1231263939
131a033691
1410a83db7
159b4b743
hex69f677d

111110013 has 12 divisors (see below), whose sum is σ = 183419808. Its totient is φ = 63491400.

The previous prime is 111109997. The next prime is 111110029. The reversal of 111110013 is 310011111.

It is an interprime number because it is at equal distance from previous prime (111109997) and next prime (111110029).

It is not a de Polignac number, because 111110013 - 24 = 111109997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 111109977 and 111110004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111110093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 881763 + ... + 881888.

It is an arithmetic number, because the mean of its divisors is an integer number (15284984).

Almost surely, 2111110013 is an apocalyptic number.

It is an amenable number.

111110013 is a deficient number, since it is larger than the sum of its proper divisors (72309795).

111110013 is a wasteful number, since it uses less digits than its factorization.

111110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763664 (or 1763661 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 111110013 is about 10540.8734457824. The cubic root of 111110013 is about 480.7482730136.

Adding to 111110013 its reverse (310011111), we get a palindrome (421121124).

The spelling of 111110013 in words is "one hundred eleven million, one hundred ten thousand, thirteen".

Divisors: 1 3 7 9 21 63 1763651 5290953 12345557 15872859 37036671 111110013