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214053041329 is a prime number
BaseRepresentation
bin1100011101011010001…
…1100011010010110001
3202110111201120011002121
43013112203203102301
512001340034310304
6242200135314241
721315301554661
oct3072643432261
9673451504077
10214053041329
11828633a8146
1235599b1b981
131725390c84a
14a5086441a1
15587c083554
hex31d68e34b1

214053041329 has 2 divisors, whose sum is σ = 214053041330. Its totient is φ = 214053041328.

The previous prime is 214053041303. The next prime is 214053041359. The reversal of 214053041329 is 923140350412.

214053041329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130355658304 + 83697383025 = 361048^2 + 289305^2 .

It is a cyclic number.

It is not a de Polignac number, because 214053041329 - 237 = 76614087857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214053041294 and 214053041303.

It is not a weakly prime, because it can be changed into another prime (214053041359) 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, 107026520664 + 107026520665.

It is an arithmetic number, because the mean of its divisors is an integer number (107026520665).

Almost surely, 2214053041329 is an apocalyptic number.

It is an amenable number.

214053041329 is a deficient number, since it is larger than the sum of its proper divisors (1).

214053041329 is an equidigital number, since it uses as much as digits as its factorization.

214053041329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 214053041329 in words is "two hundred fourteen billion, fifty-three million, forty-one thousand, three hundred twenty-nine".