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2201303213233 is a prime number
BaseRepresentation
bin100000000010000111111…
…001010110010010110001
321210102221121100121221021
4200002013321112102301
5242031232110310413
64403133103255441
7315016226404405
oct40020771262261
97712847317837
102201303213233
11779627304413
122b6763baa581
1312c774874c27
1478787a8b105
153c3daa7918d
hex20087e564b1

2201303213233 has 2 divisors, whose sum is σ = 2201303213234. Its totient is φ = 2201303213232.

The previous prime is 2201303213231. The next prime is 2201303213267. The reversal of 2201303213233 is 3323123031022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1375300343824 + 826002869409 = 1172732^2 + 908847^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201303213233 - 21 = 2201303213231 is a prime.

Together with 2201303213231, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2201303213198 and 2201303213207.

It is not a weakly prime, because it can be changed into another prime (2201303213231) 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, 1100651606616 + 1100651606617.

It is an arithmetic number, because the mean of its divisors is an integer number (1100651606617).

Almost surely, 22201303213233 is an apocalyptic number.

It is an amenable number.

2201303213233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201303213233 is an equidigital number, since it uses as much as digits as its factorization.

2201303213233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 2201303213233 its reverse (3323123031022), we get a palindrome (5524426244255).

The spelling of 2201303213233 in words is "two trillion, two hundred one billion, three hundred three million, two hundred thirteen thousand, two hundred thirty-three".