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129120382289 is a prime number
BaseRepresentation
bin111100001000000101…
…1001010110101010001
3110100021121210000222002
41320100023022311101
54103414304213124
6135152253523345
712220503066143
oct1702013126521
9410247700862
10129120382289
114a83a0a9348
12210361a3555
13c239896592
14636c736c93
15355aa110ae
hex1e102cad51

129120382289 has 2 divisors, whose sum is σ = 129120382290. Its totient is φ = 129120382288.

The previous prime is 129120382283. The next prime is 129120382291. The reversal of 129120382289 is 982283021921.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83112277264 + 46008105025 = 288292^2 + 214495^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-129120382289 is a prime.

Together with 129120382291, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (129120382283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64560191144 + 64560191145.

It is an arithmetic number, because the mean of its divisors is an integer number (64560191145).

Almost surely, 2129120382289 is an apocalyptic number.

It is an amenable number.

129120382289 is a deficient number, since it is larger than the sum of its proper divisors (1).

129120382289 is an equidigital number, since it uses as much as digits as its factorization.

129120382289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 248832, while the sum is 47.

The spelling of 129120382289 in words is "one hundred twenty-nine billion, one hundred twenty million, three hundred eighty-two thousand, two hundred eighty-nine".