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2321727073217 is a prime number
BaseRepresentation
bin100001110010010001101…
…101111010101111000001
322012221210011002120000122
4201302101231322233001
5301014344112320332
64534330420430025
7326511363335246
oct41622155725701
98187704076018
102321727073217
11815703450842
12315b71848315
1313ac26805c06
148052d4095cd
15405d7d57c12
hex21c91b7abc1

2321727073217 has 2 divisors, whose sum is σ = 2321727073218. Its totient is φ = 2321727073216.

The previous prime is 2321727073189. The next prime is 2321727073273. The reversal of 2321727073217 is 7123707271232.

2321727073217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1956616261681 + 365110811536 = 1398791^2 + 604244^2 .

It is a cyclic number.

It is not a de Polignac number, because 2321727073217 - 26 = 2321727073153 is a prime.

It is not a weakly prime, because it can be changed into another prime (2321727073517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1160863536608 + 1160863536609.

It is an arithmetic number, because the mean of its divisors is an integer number (1160863536609).

Almost surely, 22321727073217 is an apocalyptic number.

It is an amenable number.

2321727073217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2321727073217 is an equidigital number, since it uses as much as digits as its factorization.

2321727073217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 345744, while the sum is 44.

The spelling of 2321727073217 in words is "two trillion, three hundred twenty-one billion, seven hundred twenty-seven million, seventy-three thousand, two hundred seventeen".