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213442440061649 is a prime number
BaseRepresentation
bin110000100001111111110000…
…110100011110001011010001
31000222201220020122011110122212
4300201333300310132023101
5210434020104123433044
62033542034152041505
762646464432500331
oct6041776064361321
91028656218143585
10213442440061649
1162011480a88957
121bb326a9393295
1392136c700c436
143a9c9524a70c1
1519a21dae42a9e
hexc21ff0d1e2d1

213442440061649 has 2 divisors, whose sum is σ = 213442440061650. Its totient is φ = 213442440061648.

The previous prime is 213442440061579. The next prime is 213442440061667. The reversal of 213442440061649 is 946160044244312.

213442440061649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210474606954049 + 2967833107600 = 14507743^2 + 1722740^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213442440061649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213442440061597 and 213442440061606.

It is not a weakly prime, because it can be changed into another prime (213442440061699) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106721220030824 + 106721220030825.

It is an arithmetic number, because the mean of its divisors is an integer number (106721220030825).

Almost surely, 2213442440061649 is an apocalyptic number.

It is an amenable number.

213442440061649 is a deficient number, since it is larger than the sum of its proper divisors (1).

213442440061649 is an equidigital number, since it uses as much as digits as its factorization.

213442440061649 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3981312, while the sum is 50.

The spelling of 213442440061649 in words is "two hundred thirteen trillion, four hundred forty-two billion, four hundred forty million, sixty-one thousand, six hundred forty-nine".