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1030002313 is a prime number
BaseRepresentation
bin111101011001001…
…001011010001001
32122210010112112211
4331121021122021
54102140033223
6250112305121
734344606124
oct7531113211
92583115484
101030002313
11489455a8a
12248b421a1
13135513232
149ab1b3bb
156065ad0d
hex3d649689

1030002313 has 2 divisors, whose sum is σ = 1030002314. Its totient is φ = 1030002312.

The previous prime is 1030002271. The next prime is 1030002317. The reversal of 1030002313 is 3132000301.

1030002313 is digitally balanced in base 2, because in such base 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., 996222969 + 33779344 = 31563^2 + 5812^2 .

It is an emirp because it is prime and its reverse (3132000301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1030002313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1030002293 and 1030002302.

It is not a weakly prime, because it can be changed into another prime (1030002317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515001156 + 515001157.

It is an arithmetic number, because the mean of its divisors is an integer number (515001157).

Almost surely, 21030002313 is an apocalyptic number.

It is an amenable number.

1030002313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1030002313 is an equidigital number, since it uses as much as digits as its factorization.

1030002313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1030002313 is about 32093.6491069495. The cubic root of 1030002313 is about 1009.9023900049.

Adding to 1030002313 its reverse (3132000301), we get a palindrome (4162002614).

The spelling of 1030002313 in words is "one billion, thirty million, two thousand, three hundred thirteen".