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67380127201 is a prime number
BaseRepresentation
bin111110110000001010…
…110010010111100001
320102220211121010000201
4332300022302113201
52100443303032301
650542021545201
74603512426352
oct766012622741
9212824533021
1067380127201
1126637363942
1211085575201
13647a73716a
143392abdd29
151b45607201
hexfb02b25e1

67380127201 has 2 divisors, whose sum is σ = 67380127202. Its totient is φ = 67380127200.

The previous prime is 67380127141. The next prime is 67380127303. The reversal of 67380127201 is 10272108376.

67380127201 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., 55764461025 + 11615666176 = 236145^2 + 107776^2 .

It is a cyclic number.

It is not a de Polignac number, because 67380127201 - 29 = 67380126689 is a prime.

It is not a weakly prime, because it can be changed into another prime (67380727201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33690063600 + 33690063601.

It is an arithmetic number, because the mean of its divisors is an integer number (33690063601).

Almost surely, 267380127201 is an apocalyptic number.

It is an amenable number.

67380127201 is a deficient number, since it is larger than the sum of its proper divisors (1).

67380127201 is an equidigital number, since it uses as much as digits as its factorization.

67380127201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 67380127201 in words is "sixty-seven billion, three hundred eighty million, one hundred twenty-seven thousand, two hundred one".