Search a number
-
+
330321330324217 is a prime number
BaseRepresentation
bin100101100011011001110110…
…1100011100100001011111001
31121022120102002110100010002101
41023012303231203210023321
5321243441041030333332
63130311305123303401
7126401633332645051
oct11306635543441371
91538512073303071
10330321330324217
11962835425660a1
123106a5a121ab61
1311241224841c8b
145b7d8cdb82561
15282c638742ae7
hex12c6ced8e42f9

330321330324217 has 2 divisors, whose sum is σ = 330321330324218. Its totient is φ = 330321330324216.

The previous prime is 330321330324199. The next prime is 330321330324253. The reversal of 330321330324217 is 712423033123033.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 224429492102841 + 105891838221376 = 14980971^2 + 10290376^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-330321330324217 is a prime.

It is a super-2 number, since 2×3303213303242172 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (330321330324317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165160665162108 + 165160665162109.

It is an arithmetic number, because the mean of its divisors is an integer number (165160665162109).

Almost surely, 2330321330324217 is an apocalyptic number.

It is an amenable number.

330321330324217 is a deficient number, since it is larger than the sum of its proper divisors (1).

330321330324217 is an equidigital number, since it uses as much as digits as its factorization.

330321330324217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 163296, while the sum is 37.

The spelling of 330321330324217 in words is "three hundred thirty trillion, three hundred twenty-one billion, three hundred thirty million, three hundred twenty-four thousand, two hundred seventeen".