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406301223223333 is a prime number
BaseRepresentation
bin101110001100001110110000…
…0000101010000000000100101
31222021121000110211102212202001
41130120131200011100000211
5411223314401121121313
64000044112153045301
7151403203034410024
oct13430354005200045
91867530424385661
10406301223223333
11108507421293119
123969ba956b6831
131459306bc72229
147249126bd28bb
1531e8c61d4badd
hex1718760150025

406301223223333 has 2 divisors, whose sum is σ = 406301223223334. Its totient is φ = 406301223223332.

The previous prime is 406301223223319. The next prime is 406301223223369. The reversal of 406301223223333 is 333322322103604.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 391517375092804 + 14783848130529 = 19786798^2 + 3844977^2 .

It is a cyclic number.

It is not a de Polignac number, because 406301223223333 - 225 = 406301189668901 is a prime.

It is a super-2 number, since 2×4063012232233332 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 406301223223292 and 406301223223301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (406301223223433) 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, 203150611611666 + 203150611611667.

It is an arithmetic number, because the mean of its divisors is an integer number (203150611611667).

Almost surely, 2406301223223333 is an apocalyptic number.

It is an amenable number.

406301223223333 is a deficient number, since it is larger than the sum of its proper divisors (1).

406301223223333 is an equidigital number, since it uses as much as digits as its factorization.

406301223223333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 279936, while the sum is 37.

Adding to 406301223223333 its reverse (333322322103604), we get a palindrome (739623545326937).

The spelling of 406301223223333 in words is "four hundred six trillion, three hundred one billion, two hundred twenty-three million, two hundred twenty-three thousand, three hundred thirty-three".