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11812141 = 112412381
BaseRepresentation
bin101101000011…
…110100101101
3211020010012201
4231003310231
511010442031
61101101501
7202254505
oct55036455
924203181
1011812141
116738700
123b57891
1325a7643
1417d6a05
151084d61
hexb43d2d

11812141 has 12 divisors (see below), whose sum is σ = 13305852. Its totient is φ = 10472000.

The previous prime is 11812123. The next prime is 11812183. The reversal of 11812141 is 14121811.

It can be written as a sum of positive squares in 2 ways, for example, as 184041 + 11628100 = 429^2 + 3410^2 .

It is not a de Polignac number, because 11812141 - 29 = 11811629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11816141) 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 11 ways as a sum of consecutive naturals, for example, 3771 + ... + 6151.

It is an arithmetic number, because the mean of its divisors is an integer number (1108821).

Almost surely, 211812141 is an apocalyptic number.

11812141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11812141 is a deficient number, since it is larger than the sum of its proper divisors (1493711).

11812141 is a wasteful number, since it uses less digits than its factorization.

11812141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2433 counting only the distinct ones).

The product of its digits is 64, while the sum is 19.

The square root of 11812141 is about 3436.8795440050. The cubic root of 11812141 is about 227.7418657023.

Adding to 11812141 its reverse (14121811), we get a palindrome (25933952).

The spelling of 11812141 in words is "eleven million, eight hundred twelve thousand, one hundred forty-one".

Divisors: 1 11 41 121 451 2381 4961 26191 97621 288101 1073831 11812141