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104121441 = 3237312677
BaseRepresentation
bin1100011010011…
…00010001100001
321020220220202200
412031030101201
5203123341231
614155403413
72403006024
oct615142141
9236826680
10104121441
1153856a86
122aa53569
1318757728
14db851bb
15921abe6
hex634c461

104121441 has 12 divisors (see below), whose sum is σ = 154462932. Its totient is φ = 67538016.

The previous prime is 104121439. The next prime is 104121443. The reversal of 104121441 is 144121401.

104121441 is a `hidden beast` number, since 104 + 121 + 441 = 666.

It is an interprime number because it is at equal distance from previous prime (104121439) and next prime (104121443).

It can be written as a sum of positive squares in 2 ways, for example, as 100400400 + 3721041 = 10020^2 + 1929^2 .

It is not a de Polignac number, because 104121441 - 21 = 104121439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104121443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156006 + ... + 156671.

It is an arithmetic number, because the mean of its divisors is an integer number (12871911).

Almost surely, 2104121441 is an apocalyptic number.

It is an amenable number.

104121441 is a deficient number, since it is larger than the sum of its proper divisors (50341491).

104121441 is a wasteful number, since it uses less digits than its factorization.

104121441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312720 (or 312717 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 104121441 is about 10203.9914249278. The cubic root of 104121441 is about 470.4499102126.

Adding to 104121441 its reverse (144121401), we get a palindrome (248242842).

The spelling of 104121441 in words is "one hundred four million, one hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 3 9 37 111 333 312677 938031 2814093 11569049 34707147 104121441