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1003410013 is a prime number
BaseRepresentation
bin111011110011101…
…101001001011101
32120221002111202211
4323303231021131
54023333110023
6243322320421
733602562424
oct7363551135
92527074684
101003410013
11475442881
12240059111
1312cb62348
14973982bb
155d156a0d
hex3bced25d

1003410013 has 2 divisors, whose sum is σ = 1003410014. Its totient is φ = 1003410012.

The previous prime is 1003410011. The next prime is 1003410049. The reversal of 1003410013 is 3100143001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 961186009 + 42224004 = 31003^2 + 6498^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003410013 - 21 = 1003410011 is a prime.

Together with 1003410011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1003409975 and 1003410002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1003410011) 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, 501705006 + 501705007.

It is an arithmetic number, because the mean of its divisors is an integer number (501705007).

Almost surely, 21003410013 is an apocalyptic number.

It is an amenable number.

1003410013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003410013 is an equidigital number, since it uses as much as digits as its factorization.

1003410013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1003410013 is about 31676.6477550892. The cubic root of 1003410013 is about 1001.1353814212.

Adding to 1003410013 its reverse (3100143001), we get a palindrome (4103553014).

The spelling of 1003410013 in words is "one billion, three million, four hundred ten thousand, thirteen".