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111300141 = 3113397827
BaseRepresentation
bin1101010001001…
…00111000101101
321202102122002110
412220210320231
5211443101031
615013314233
72521015131
oct650447055
9252378073
10111300141
115790a497
1231335979
131a09c094
1410ad33c1
159b87c46
hex6a24e2d

111300141 has 16 divisors (see below), whose sum is σ = 150272064. Its totient is φ = 73269504.

The previous prime is 111300131. The next prime is 111300187. The reversal of 111300141 is 141003111.

It is not a de Polignac number, because 111300141 - 211 = 111298093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111300121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134170 + ... + 134996.

It is an arithmetic number, because the mean of its divisors is an integer number (9392004).

Almost surely, 2111300141 is an apocalyptic number.

It is an amenable number.

111300141 is a deficient number, since it is larger than the sum of its proper divisors (38971923).

111300141 is a wasteful number, since it uses less digits than its factorization.

111300141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340.

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 111300141 is about 10549.8881984597. Note that the first 3 decimals coincide. The cubic root of 111300141 is about 481.0223305864.

Adding to 111300141 its reverse (141003111), we get a palindrome (252303252).

The spelling of 111300141 in words is "one hundred eleven million, three hundred thousand, one hundred forty-one".

Divisors: 1 3 113 339 397 827 1191 2481 44861 93451 134583 280353 328319 984957 37100047 111300141