Search a number
-
+
1067012693 is a prime number
BaseRepresentation
bin111111100110010…
…101001001010101
32202100202212020122
4333212111021111
54141123401233
6253513441325
735304313115
oct7746251125
92670685218
101067012693
114a833447a
12259410245
131400a1076
14a19d3045
1563a1bd98
hex3f995255

1067012693 has 2 divisors, whose sum is σ = 1067012694. Its totient is φ = 1067012692.

The previous prime is 1067012647. The next prime is 1067012717. The reversal of 1067012693 is 3962107601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1053521764 + 13490929 = 32458^2 + 3673^2 .

It is a cyclic number.

It is not a de Polignac number, because 1067012693 - 26 = 1067012629 is a prime.

It is a super-3 number, since 3×10670126933 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1067012893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 533506346 + 533506347.

It is an arithmetic number, because the mean of its divisors is an integer number (533506347).

Almost surely, 21067012693 is an apocalyptic number.

It is an amenable number.

1067012693 is a deficient number, since it is larger than the sum of its proper divisors (1).

1067012693 is an equidigital number, since it uses as much as digits as its factorization.

1067012693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 1067012693 is about 32665.1602322719. The cubic root of 1067012693 is about 1021.8563825978.

The spelling of 1067012693 in words is "one billion, sixty-seven million, twelve thousand, six hundred ninety-three".