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213312321030253 is a prime number
BaseRepresentation
bin110000100000000110100101…
…000111110000100001101101
31000222021110101102020210122211
4300200012211013300201231
5210424402113140432003
62033402154421410421
762634210112124554
oct6040064507604155
91028243342223584
10213312321030253
1161a7127a1a9775
121bb11434869a11
13920435b58c833
143a9652b294d9b
15199db2291a96d
hexc201a51f086d

213312321030253 has 2 divisors, whose sum is σ = 213312321030254. Its totient is φ = 213312321030252.

The previous prime is 213312321030199. The next prime is 213312321030313. The reversal of 213312321030253 is 352030123213312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 213097458188164 + 214862842089 = 14597858^2 + 463533^2 .

It is a cyclic number.

It is not a de Polignac number, because 213312321030253 - 225 = 213312287475821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213312321030553) 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, 106656160515126 + 106656160515127.

It is an arithmetic number, because the mean of its divisors is an integer number (106656160515127).

Almost surely, 2213312321030253 is an apocalyptic number.

It is an amenable number.

213312321030253 is a deficient number, since it is larger than the sum of its proper divisors (1).

213312321030253 is an equidigital number, since it uses as much as digits as its factorization.

213312321030253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 213312321030253 its reverse (352030123213312), we get a palindrome (565342444243565).

The spelling of 213312321030253 in words is "two hundred thirteen trillion, three hundred twelve billion, three hundred twenty-one million, thirty thousand, two hundred fifty-three".