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10001302013 is a prime number
BaseRepresentation
bin10010101000001111…
…11100000111111101
3221211000012210011002
421110013330013331
5130440313131023
64332230340045
7502561443623
oct112407740775
927730183132
1010001302013
11427252425a
121b314ba625
13c35054cb1
146ac3c1513
153d8068b28
hex2541fc1fd

10001302013 has 2 divisors, whose sum is σ = 10001302014. Its totient is φ = 10001302012.

The previous prime is 10001302009. The next prime is 10001302033. The reversal of 10001302013 is 31020310001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8222318329 + 1778983684 = 90677^2 + 42178^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001302013 - 22 = 10001302009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001301985 and 10001302003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001302033) 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, 5000651006 + 5000651007.

It is an arithmetic number, because the mean of its divisors is an integer number (5000651007).

Almost surely, 210001302013 is an apocalyptic number.

It is an amenable number.

10001302013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001302013 is an equidigital number, since it uses as much as digits as its factorization.

10001302013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10001302013 its reverse (31020310001), we get a palindrome (41021612014).

The spelling of 10001302013 in words is "ten billion, one million, three hundred two thousand, thirteen".