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1023000973 is a prime number
BaseRepresentation
bin111100111110011…
…100000110001101
32122021221211111221
4330332130012031
54043342012343
6245302243341
734231236061
oct7476340615
92567854457
101023000973
11485503855
12246726551
13133c31527
1499c17aa1
155ec265ed
hex3cf9c18d

1023000973 has 2 divisors, whose sum is σ = 1023000974. Its totient is φ = 1023000972.

The previous prime is 1023000971. The next prime is 1023001009. The reversal of 1023000973 is 3790003201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 712783204 + 310217769 = 26698^2 + 17613^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023000973 - 21 = 1023000971 is a prime.

Together with 1023000971, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023000971) 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, 511500486 + 511500487.

It is an arithmetic number, because the mean of its divisors is an integer number (511500487).

Almost surely, 21023000973 is an apocalyptic number.

It is an amenable number.

1023000973 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023000973 is an equidigital number, since it uses as much as digits as its factorization.

1023000973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 1023000973 is about 31984.3863939892. The cubic root of 1023000973 is about 1007.6089480665.

The spelling of 1023000973 in words is "one billion, twenty-three million, nine hundred seventy-three", and thus it is an aban number.