Search a number
-
+
10003321002209 is a prime number
BaseRepresentation
bin1001000110010001010001…
…1001010001100011100001
31022102022022122021122102012
42101210110121101203201
52302343300134032314
633135243501402305
72051500422401423
oct221442431214341
938368278248365
1010003321002209
113207425a13147
121156863b69395
135774031b21a2
14268240214813
1512532179393e
hex919146518e1

10003321002209 has 2 divisors, whose sum is σ = 10003321002210. Its totient is φ = 10003321002208.

The previous prime is 10003321002161. The next prime is 10003321002263. The reversal of 10003321002209 is 90220012330001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8831832985600 + 1171488016609 = 2971840^2 + 1082353^2 .

It is a cyclic number.

It is not a de Polignac number, because 10003321002209 - 212 = 10003320998113 is a prime.

It is not a weakly prime, because it can be changed into another prime (10003326002209) 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, 5001660501104 + 5001660501105.

It is an arithmetic number, because the mean of its divisors is an integer number (5001660501105).

Almost surely, 210003321002209 is an apocalyptic number.

It is an amenable number.

10003321002209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003321002209 is an equidigital number, since it uses as much as digits as its factorization.

10003321002209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The spelling of 10003321002209 in words is "ten trillion, three billion, three hundred twenty-one million, two thousand, two hundred nine".