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222301321001 is a prime number
BaseRepresentation
bin1100111100001000110…
…0001111011100101001
3210020210120011011200022
43033002030033130221
512120233114233001
6250042424450225
722026556023404
oct3170214173451
9706716134608
10222301321001
1186306333801
1237100319975
1317c697122c6
14aa8bc9ad3b
155bb127311b
hex33c230f729

222301321001 has 2 divisors, whose sum is σ = 222301321002. Its totient is φ = 222301321000.

The previous prime is 222301320971. The next prime is 222301321003. The reversal of 222301321001 is 100123103222.

222301321001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210037973401 + 12263347600 = 458299^2 + 110740^2 .

It is a cyclic number.

It is not a de Polignac number, because 222301321001 - 222 = 222297126697 is a prime.

Together with 222301321003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (222301321003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111150660500 + 111150660501.

It is an arithmetic number, because the mean of its divisors is an integer number (111150660501).

Almost surely, 2222301321001 is an apocalyptic number.

It is an amenable number.

222301321001 is a deficient number, since it is larger than the sum of its proper divisors (1).

222301321001 is an equidigital number, since it uses as much as digits as its factorization.

222301321001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 222301321001 its reverse (100123103222), we get a palindrome (322424424223).

The spelling of 222301321001 in words is "two hundred twenty-two billion, three hundred one million, three hundred twenty-one thousand, one".