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213213004423049 is a prime number
BaseRepresentation
bin110000011110101010000101…
…011000111101111110001001
31000221220222000212112102002102
4300132222011120331332021
5210421240213113014144
62033244411350043145
762624063003652101
oct6036520530757611
91027828025472072
10213213004423049
1161a331445aa804
121bab61379494b5
1391c7b91526437
143a917c8cc8201
15199b25d6c2b4e
hexc1ea8563df89

213213004423049 has 2 divisors, whose sum is σ = 213213004423050. Its totient is φ = 213213004423048.

The previous prime is 213213004423039. The next prime is 213213004423117. The reversal of 213213004423049 is 940324400312312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107476617270649 + 105736387152400 = 10367093^2 + 10282820^2 .

It is a cyclic number.

It is not a de Polignac number, because 213213004423049 - 28 = 213213004422793 is a prime.

It is a super-3 number, since 3×2132130044230493 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (213213004423039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106606502211524 + 106606502211525.

It is an arithmetic number, because the mean of its divisors is an integer number (106606502211525).

Almost surely, 2213213004423049 is an apocalyptic number.

It is an amenable number.

213213004423049 is a deficient number, since it is larger than the sum of its proper divisors (1).

213213004423049 is an equidigital number, since it uses as much as digits as its factorization.

213213004423049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 213213004423049 in words is "two hundred thirteen trillion, two hundred thirteen billion, four million, four hundred twenty-three thousand, forty-nine".