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1067327141 is a prime number
BaseRepresentation
bin111111100111100…
…001111010100101
32202101100211120212
4333213201322211
54141213432031
6253524305205
735310062636
oct7747417245
92671324525
101067327141
114a8529751
12259542205
1314018122a
14a1a7588d
1563a8012b
hex3f9e1ea5

1067327141 has 2 divisors, whose sum is σ = 1067327142. Its totient is φ = 1067327140.

The previous prime is 1067327137. The next prime is 1067327143. The reversal of 1067327141 is 1417237601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 819390625 + 247936516 = 28625^2 + 15746^2 .

It is a cyclic number.

It is not a de Polignac number, because 1067327141 - 22 = 1067327137 is a prime.

It is a super-2 number, since 2×10673271412 = 2278374451830467762, which contains 22 as substring.

Together with 1067327143, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1067327098 and 1067327107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1067327143) 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, 533663570 + 533663571.

It is an arithmetic number, because the mean of its divisors is an integer number (533663571).

Almost surely, 21067327141 is an apocalyptic number.

It is an amenable number.

1067327141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1067327141 is an equidigital number, since it uses as much as digits as its factorization.

1067327141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 1067327141 is about 32669.9730792665. The cubic root of 1067327141 is about 1021.9567528929.

The spelling of 1067327141 in words is "one billion, sixty-seven million, three hundred twenty-seven thousand, one hundred forty-one".