Search a number
-
+
111112001 = 71121310091
BaseRepresentation
bin1101001111101…
…10111101000001
321202002002000022
412213312331001
5211421041001
615005303225
72516302460
oct647667501
9252062008
10111112001
11577a1100
1231264b15
131a034560
1410a849d7
159b4c11b
hex69f6f41

111112001 has 24 divisors (see below), whose sum is σ = 150330432. Its totient is φ = 79912800.

The previous prime is 111111989. The next prime is 111112003. The reversal of 111112001 is 100211111.

It is a happy number.

It is not a de Polignac number, because 111112001 - 222 = 106917697 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 111112001.

It is not an unprimeable number, because it can be changed into a prime (111112003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5966 + ... + 16056.

It is an arithmetic number, because the mean of its divisors is an integer number (6263768).

Almost surely, 2111112001 is an apocalyptic number.

111112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111112001 is a deficient number, since it is larger than the sum of its proper divisors (39218431).

111112001 is a wasteful number, since it uses less digits than its factorization.

111112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10133 (or 10122 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 111112001 is about 10540.9677449464. The cubic root of 111112001 is about 480.7511402076.

Adding to 111112001 its reverse (100211111), we get a palindrome (211323112).

The spelling of 111112001 in words is "one hundred eleven million, one hundred twelve thousand, one".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 10091 11011 70637 111001 131183 777007 918281 1221011 1443013 8547077 10101091 15873143 111112001