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2003222123249 is a prime number
BaseRepresentation
bin11101001001101001010…
…101111101001011110001
321002111122222211200010012
4131021221111331023301
5230310044330420444
64132133442144305
7264504466046264
oct35115125751361
97074588750105
102003222123249
1170261a734766
122842a3052095
13116b97c7a889
146cd56796cdb
1537195ceab9e
hex1d26957d2f1

2003222123249 has 2 divisors, whose sum is σ = 2003222123250. Its totient is φ = 2003222123248.

The previous prime is 2003222123209. The next prime is 2003222123267. The reversal of 2003222123249 is 9423212223002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1885315732624 + 117906390625 = 1373068^2 + 343375^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2003222123249 is a prime.

It is not a weakly prime, because it can be changed into another prime (2003222123209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001611061624 + 1001611061625.

It is an arithmetic number, because the mean of its divisors is an integer number (1001611061625).

Almost surely, 22003222123249 is an apocalyptic number.

It is an amenable number.

2003222123249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003222123249 is an equidigital number, since it uses as much as digits as its factorization.

2003222123249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 2003222123249 in words is "two trillion, three billion, two hundred twenty-two million, one hundred twenty-three thousand, two hundred forty-nine".