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1006771133 is a prime number
BaseRepresentation
bin111100000000100…
…001101110111101
32121011102021100202
4330000201232331
54030213134013
6243522333245
733643261544
oct7400415675
92534367322
101006771133
11477329065
122411ba225
1313076b184
14979d115b
155d5bc858
hex3c021bbd

1006771133 has 2 divisors, whose sum is σ = 1006771134. Its totient is φ = 1006771132.

The previous prime is 1006771121. The next prime is 1006771151. The reversal of 1006771133 is 3311776001.

1006771133 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., 521802649 + 484968484 = 22843^2 + 22022^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006771133 - 212 = 1006767037 is a prime.

It is a super-2 number, since 2×10067711332 = 2027176228484207378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1006771096 and 1006771105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006774133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503385566 + 503385567.

It is an arithmetic number, because the mean of its divisors is an integer number (503385567).

Almost surely, 21006771133 is an apocalyptic number.

It is an amenable number.

1006771133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006771133 is an equidigital number, since it uses as much as digits as its factorization.

1006771133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 1006771133 is about 31729.6569946793. The cubic root of 1006771133 is about 1002.2519691614.

The spelling of 1006771133 in words is "one billion, six million, seven hundred seventy-one thousand, one hundred thirty-three".