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213311322073 is a prime number
BaseRepresentation
bin1100011010101001011…
…0000111011111011001
3202101121000212220120001
43012222112013133121
511443330144301243
6241554401533001
721261024215113
oct3065226073731
9671530786501
10213311322073
1182512753523
1235411644161
1317166054205
14a477d2a3b3
155836dbea4d
hex31aa5877d9

213311322073 has 2 divisors, whose sum is σ = 213311322074. Its totient is φ = 213311322072.

The previous prime is 213311322071. The next prime is 213311322097. The reversal of 213311322073 is 370223113312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 213307269904 + 4052169 = 461852^2 + 2013^2 .

It is a cyclic number.

It is not a de Polignac number, because 213311322073 - 21 = 213311322071 is a prime.

It is a super-2 number, since 2×2133113220732 (a number of 23 digits) contains 22 as substring.

Together with 213311322071, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (213311322071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106655661036 + 106655661037.

It is an arithmetic number, because the mean of its divisors is an integer number (106655661037).

Almost surely, 2213311322073 is an apocalyptic number.

It is an amenable number.

213311322073 is a deficient number, since it is larger than the sum of its proper divisors (1).

213311322073 is an equidigital number, since it uses as much as digits as its factorization.

213311322073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 28.

Adding to 213311322073 its reverse (370223113312), we get a palindrome (583534435385).

The spelling of 213311322073 in words is "two hundred thirteen billion, three hundred eleven million, three hundred twenty-two thousand, seventy-three".