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1002000029 is a prime number
BaseRepresentation
bin111011101110010…
…100111010011101
32120211102212122012
4323232110322131
54023003000104
6243232201005
733554600612
oct7356247235
92524385565
101002000029
1147466a4a8
1223b699165
1312c78a634
149710c509
155ce78d6e
hex3bb94e9d

1002000029 has 2 divisors, whose sum is σ = 1002000030. Its totient is φ = 1002000028.

The previous prime is 1002000001. The next prime is 1002000047. The reversal of 1002000029 is 9200002001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 950303929 + 51696100 = 30827^2 + 7190^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1002000029 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1001999977 and 1002000022.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002000089) 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, 501000014 + 501000015.

It is an arithmetic number, because the mean of its divisors is an integer number (501000015).

Almost surely, 21002000029 is an apocalyptic number.

It is an amenable number.

1002000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002000029 is an equidigital number, since it uses as much as digits as its factorization.

1002000029 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 14.

The square root of 1002000029 is about 31654.3840407612. The cubic root of 1002000029 is about 1000.6662323692. Note that the first 3 decimals are identical.

The spelling of 1002000029 in words is "one billion, two million, twenty-nine", and thus it is an aban number and an uban number.