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1003013993 is a prime number
BaseRepresentation
bin111011110010001…
…100011101101001
32120220100101112102
4323302030131221
54023232421433
6243310023145
733566323022
oct7362143551
92526311472
101003013993
114751a2293
1223baa7ab5
1312ca54007
14972d3c49
155d0c94e8
hex3bc8c769

1003013993 has 2 divisors, whose sum is σ = 1003013994. Its totient is φ = 1003013992.

The previous prime is 1003013989. The next prime is 1003014017. The reversal of 1003013993 is 3993103001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 998054464 + 4959529 = 31592^2 + 2227^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003013993 - 22 = 1003013989 is a prime.

It is not a weakly prime, because it can be changed into another prime (1003013903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501506996 + 501506997.

It is an arithmetic number, because the mean of its divisors is an integer number (501506997).

Almost surely, 21003013993 is an apocalyptic number.

It is an amenable number.

1003013993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003013993 is an equidigital number, since it uses as much as digits as its factorization.

1003013993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 29.

The square root of 1003013993 is about 31670.3961610839. The cubic root of 1003013993 is about 1001.0036566696.

Adding to 1003013993 its reverse (3993103001), we get a palindrome (4996116994).

The spelling of 1003013993 in words is "one billion, three million, thirteen thousand, nine hundred ninety-three".