Search a number
-
+
3222303331001 is a prime number
BaseRepresentation
bin101110111001000000001…
…111101101001010111001
3102102001022212012120022212
4232321000033231022321
5410243234123043001
610504150011224505
7451542452251526
oct56710017551271
912361285176285
103222303331001
111032631252637
12440606a48135
131a4b28797051
14b1d6315814d
1558c45c627bb
hex2ee403ed2b9

3222303331001 has 2 divisors, whose sum is σ = 3222303331002. Its totient is φ = 3222303331000.

The previous prime is 3222303330997. The next prime is 3222303331003. The reversal of 3222303331001 is 1001333032223.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2636404937401 + 585898393600 = 1623701^2 + 765440^2 .

It is a cyclic number.

It is not a de Polignac number, because 3222303331001 - 22 = 3222303330997 is a prime.

It is a super-3 number, since 3×32223033310013 (a number of 39 digits) contains 333 as substring.

Together with 3222303331003, 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 (3222303331003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1611151665500 + 1611151665501.

It is an arithmetic number, because the mean of its divisors is an integer number (1611151665501).

Almost surely, 23222303331001 is an apocalyptic number.

It is an amenable number.

3222303331001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3222303331001 is an equidigital number, since it uses as much as digits as its factorization.

3222303331001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 3222303331001 its reverse (1001333032223), we get a palindrome (4223636363224).

The spelling of 3222303331001 in words is "three trillion, two hundred twenty-two billion, three hundred three million, three hundred thirty-one thousand, one".