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1004224010441 is a prime number
BaseRepresentation
bin11101001110100000110…
…10100101100011001001
310120000002002122101111012
432213100122211203021
5112423122321313231
62045200101413305
7132360415151201
oct16472032454311
93500062571435
101004224010441
11357986301513
1214276070a235
137390c4301c2
143686742d401
151b1c74d9e2b
hexe9d06a58c9

1004224010441 has 2 divisors, whose sum is σ = 1004224010442. Its totient is φ = 1004224010440.

The previous prime is 1004224010417. The next prime is 1004224010479. The reversal of 1004224010441 is 1440104224001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1003483027600 + 740982841 = 1001740^2 + 27221^2 .

It is a cyclic number.

It is not a de Polignac number, because 1004224010441 - 222 = 1004219816137 is a prime.

It is not a weakly prime, because it can be changed into another prime (1004224010641) 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 as a sum of consecutive naturals, namely, 502112005220 + 502112005221.

It is an arithmetic number, because the mean of its divisors is an integer number (502112005221).

Almost surely, 21004224010441 is an apocalyptic number.

It is an amenable number.

1004224010441 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004224010441 is an equidigital number, since it uses as much as digits as its factorization.

1004224010441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 1004224010441 its reverse (1440104224001), we get a palindrome (2444328234442).

The spelling of 1004224010441 in words is "one trillion, four billion, two hundred twenty-four million, ten thousand, four hundred forty-one".