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1001785133 is a prime number
BaseRepresentation
bin111011101101100…
…000011100101101
32120211000221212002
4323231200130231
54022424111013
6243223422045
733553014236
oct7355403455
92524027762
101001785133
11474532aa8
1223b5b4925
1312c71388b
149709408d
155ce35358
hex3bb6072d

1001785133 has 2 divisors, whose sum is σ = 1001785134. Its totient is φ = 1001785132.

The previous prime is 1001785121. The next prime is 1001785153. The reversal of 1001785133 is 3315871001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 838507849 + 163277284 = 28957^2 + 12778^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001785133 - 26 = 1001785069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001785096 and 1001785105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001785153) 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, 500892566 + 500892567.

It is an arithmetic number, because the mean of its divisors is an integer number (500892567).

Almost surely, 21001785133 is an apocalyptic number.

It is an amenable number.

1001785133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001785133 is an equidigital number, since it uses as much as digits as its factorization.

1001785133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 1001785133 is about 31650.9894474091. The cubic root of 1001785133 is about 1000.5946906063.

The spelling of 1001785133 in words is "one billion, one million, seven hundred eighty-five thousand, one hundred thirty-three".