Search a number
-
+
2331102219217 is a prime number
BaseRepresentation
bin100001111011000000100…
…001010000101111010001
322020211222112002022121021
4201323000201100233101
5301143044132003332
64542521002355441
7330262612634362
oct41730041205721
98224875068537
102331102219217
11819684481792
123179494bbb81
1313ba8bc04b95
1480b7c595b69
1540985e38c97
hex21ec0850bd1

2331102219217 has 2 divisors, whose sum is σ = 2331102219218. Its totient is φ = 2331102219216.

The previous prime is 2331102219209. The next prime is 2331102219221. The reversal of 2331102219217 is 7129122011332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2297288893761 + 33813325456 = 1515681^2 + 183884^2 .

It is a cyclic number.

It is not a de Polignac number, because 2331102219217 - 23 = 2331102219209 is a prime.

It is not a weakly prime, because it can be changed into another prime (2331102219247) 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, 1165551109608 + 1165551109609.

It is an arithmetic number, because the mean of its divisors is an integer number (1165551109609).

Almost surely, 22331102219217 is an apocalyptic number.

It is an amenable number.

2331102219217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2331102219217 is an equidigital number, since it uses as much as digits as its factorization.

2331102219217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 34.

The spelling of 2331102219217 in words is "two trillion, three hundred thirty-one billion, one hundred two million, two hundred nineteen thousand, two hundred seventeen".