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10003122973 is a prime number
BaseRepresentation
bin10010101000011101…
…11000101100011101
3221211010122022001001
421110032320230131
5130441244413343
64332333350301
7502613066554
oct112416705435
927733568031
1010003122973
114273558388
121b32038391
13c35541a9c
146ac736d9b
153d82c844d
hex2543b8b1d

10003122973 has 2 divisors, whose sum is σ = 10003122974. Its totient is φ = 10003122972.

The previous prime is 10003122953. The next prime is 10003122991. The reversal of 10003122973 is 37922130001.

10003122973 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5842614969 + 4160508004 = 76437^2 + 64502^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10003122973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10003122953) 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, 5001561486 + 5001561487.

It is an arithmetic number, because the mean of its divisors is an integer number (5001561487).

Almost surely, 210003122973 is an apocalyptic number.

It is an amenable number.

10003122973 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003122973 is an equidigital number, since it uses as much as digits as its factorization.

10003122973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

Adding to 10003122973 its reverse (37922130001), we get a palindrome (47925252974).

The spelling of 10003122973 in words is "ten billion, three million, one hundred twenty-two thousand, nine hundred seventy-three".