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112730111 = 13174710853
BaseRepresentation
bin1101011100000…
…01111111111111
321212010021122022
412232001333333
5212324330421
615104110355
72536122134
oct656017777
9255107568
10112730111
11586a688a
12319053bb
131a47cc10
1410d8658b
159d6b7ab
hex6b81fff

112730111 has 16 divisors (see below), whose sum is σ = 131289984. Its totient is φ = 95844864.

The previous prime is 112730081. The next prime is 112730119. The reversal of 112730111 is 111037211.

It is a cyclic number.

It is not a de Polignac number, because 112730111 - 210 = 112729087 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112730111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112730119) 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 15 ways as a sum of consecutive naturals, for example, 4961 + ... + 15813.

It is an arithmetic number, because the mean of its divisors is an integer number (8205624).

Almost surely, 2112730111 is an apocalyptic number.

112730111 is a deficient number, since it is larger than the sum of its proper divisors (18559873).

112730111 is a wasteful number, since it uses less digits than its factorization.

112730111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10930.

The product of its (nonzero) digits is 42, while the sum is 17.

The square root of 112730111 is about 10617.4437130601. The cubic root of 112730111 is about 483.0736084836.

Adding to 112730111 its reverse (111037211), we get a palindrome (223767322).

The spelling of 112730111 in words is "one hundred twelve million, seven hundred thirty thousand, one hundred eleven".

Divisors: 1 13 17 47 221 611 799 10387 10853 141089 184501 510091 2398513 6631183 8671547 112730111