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1003002010009 is a prime number
BaseRepresentation
bin11101001100001111001…
…01000001100110011001
310112212220221020100000221
432212013211001212121
5112413122003310014
62044434530000041
7132315216262546
oct16460745014631
93485827210027
101003002010009
113574095394aa
1214247b416021
1373776204c1c
143678d013bcd
151b1550a5b24
hexe987941999

1003002010009 has 2 divisors, whose sum is σ = 1003002010010. Its totient is φ = 1003002010008.

The previous prime is 1003002010007. The next prime is 1003002010069. The reversal of 1003002010009 is 9000102003001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 882087248025 + 120914761984 = 939195^2 + 347728^2 .

It is an emirp because it is prime and its reverse (9000102003001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1003002010009 - 21 = 1003002010007 is a prime.

Together with 1003002010007, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1003002009974 and 1003002010001.

It is not a weakly prime, because it can be changed into another prime (1003002010007) 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, 501501005004 + 501501005005.

It is an arithmetic number, because the mean of its divisors is an integer number (501501005005).

Almost surely, 21003002010009 is an apocalyptic number.

It is an amenable number.

1003002010009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003002010009 is an equidigital number, since it uses as much as digits as its factorization.

1003002010009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

The spelling of 1003002010009 in words is "one trillion, three billion, two million, ten thousand, nine".