Search a number
-
+
993321209 is a prime number
BaseRepresentation
bin111011001101001…
…110000011111001
32120020002221112102
4323031032003321
54013242234314
6242322153145
733421043126
oct7315160371
92506087472
10993321209
1146a781a21
122387b27b5
1312aa3c23a
1495ccd74d
155c3125de
hex3b34e0f9

993321209 has 2 divisors, whose sum is σ = 993321210. Its totient is φ = 993321208.

The previous prime is 993321179. The next prime is 993321221. The reversal of 993321209 is 902123399.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 988159225 + 5161984 = 31435^2 + 2272^2 .

It is an emirp because it is prime and its reverse (902123399) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-993321209 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (993321239) 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, 496660604 + 496660605.

It is an arithmetic number, because the mean of its divisors is an integer number (496660605).

Almost surely, 2993321209 is an apocalyptic number.

It is an amenable number.

993321209 is a deficient number, since it is larger than the sum of its proper divisors (1).

993321209 is an equidigital number, since it uses as much as digits as its factorization.

993321209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26244, while the sum is 38.

The square root of 993321209 is about 31516.9987308436. The cubic root of 993321209 is about 997.7687616113.

The spelling of 993321209 in words is "nine hundred ninety-three million, three hundred twenty-one thousand, two hundred nine".