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10287000973 is a prime number
BaseRepresentation
bin10011001010010011…
…10010110110001101
3222112220210210110001
421211021302312031
5132031433012343
64420434044301
7512631031324
oct114511626615
928486723401
1010287000973
1143a98200a7
121bb1119691
13c7c2b6632
146d83110bb
154031a044d
hex265272d8d

10287000973 has 2 divisors, whose sum is σ = 10287000974. Its totient is φ = 10287000972.

The previous prime is 10287000947. The next prime is 10287001001. The reversal of 10287000973 is 37900078201.

10287000973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5996488969 + 4290512004 = 77437^2 + 65502^2 .

It is a cyclic number.

It is not a de Polignac number, because 10287000973 - 29 = 10287000461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10287009973) 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, 5143500486 + 5143500487.

It is an arithmetic number, because the mean of its divisors is an integer number (5143500487).

Almost surely, 210287000973 is an apocalyptic number.

It is an amenable number.

10287000973 is a deficient number, since it is larger than the sum of its proper divisors (1).

10287000973 is an equidigital number, since it uses as much as digits as its factorization.

10287000973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 37.

The spelling of 10287000973 in words is "ten billion, two hundred eighty-seven million, nine hundred seventy-three", and thus it is an aban number.