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210223220329 is a prime number
BaseRepresentation
bin1100001111001001000…
…1111100011001101001
3202002121211002002100101
43003302101330121221
511421014121022304
6240324125105401
721121345614043
oct3036221743151
9662554062311
10210223220329
1181178588a21
12348ab3b8261
1316a93333a85
14a263b4ca93
155705c268a4
hex30f247c669

210223220329 has 2 divisors, whose sum is σ = 210223220330. Its totient is φ = 210223220328.

The previous prime is 210223220281. The next prime is 210223220351. The reversal of 210223220329 is 923022322012.

210223220329 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., 193447789929 + 16775430400 = 439827^2 + 129520^2 .

It is a cyclic number.

It is not a de Polignac number, because 210223220329 - 223 = 210214831721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210223220297 and 210223220306.

It is not a weakly prime, because it can be changed into another prime (210223220369) 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, 105111610164 + 105111610165.

It is an arithmetic number, because the mean of its divisors is an integer number (105111610165).

Almost surely, 2210223220329 is an apocalyptic number.

It is an amenable number.

210223220329 is a deficient number, since it is larger than the sum of its proper divisors (1).

210223220329 is an equidigital number, since it uses as much as digits as its factorization.

210223220329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 210223220329 in words is "two hundred ten billion, two hundred twenty-three million, two hundred twenty thousand, three hundred twenty-nine".