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1017341441 is a prime number
BaseRepresentation
bin111100101000110…
…110011000000001
32121220022022002122
4330220312120001
54040414411231
6244541054025
734132155014
oct7450663001
92556268078
101017341441
11482298756
12244857315
131329cc4ac
149918337b
155e4a977b
hex3ca36601

1017341441 has 2 divisors, whose sum is σ = 1017341442. Its totient is φ = 1017341440.

The previous prime is 1017341401. The next prime is 1017341471. The reversal of 1017341441 is 1441437101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 902401600 + 114939841 = 30040^2 + 10721^2 .

It is a cyclic number.

It is not a de Polignac number, because 1017341441 - 210 = 1017340417 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1017341441.

It is not a weakly prime, because it can be changed into another prime (1017341401) 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 as a sum of consecutive naturals, namely, 508670720 + 508670721.

It is an arithmetic number, because the mean of its divisors is an integer number (508670721).

Almost surely, 21017341441 is an apocalyptic number.

It is an amenable number.

1017341441 is a deficient number, since it is larger than the sum of its proper divisors (1).

1017341441 is an equidigital number, since it uses as much as digits as its factorization.

1017341441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 1017341441 is about 31895.7903335221. The cubic root of 1017341441 is about 1005.7473846200.

Adding to 1017341441 its reverse (1441437101), we get a palindrome (2458778542).

The spelling of 1017341441 in words is "one billion, seventeen million, three hundred forty-one thousand, four hundred forty-one".