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820374071009 is a prime number
BaseRepresentation
bin10111111000000100001…
…10101110011011100001
32220102112021112210012012
423330002012232123201
5101420111230233014
61424512531242305
7113161430355653
oct13740206563341
92812467483165
10820374071009
11296a11859909
12112bb1749395
135c48ccb78ac
142b9c61c26d3
1516516cedc3e
hexbf021ae6e1

820374071009 has 2 divisors, whose sum is σ = 820374071010. Its totient is φ = 820374071008.

The previous prime is 820374070991. The next prime is 820374071039. The reversal of 820374071009 is 900170473028.

820374071009 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., 429627811600 + 390746259409 = 655460^2 + 625097^2 .

It is a cyclic number.

It is not a de Polignac number, because 820374071009 - 212 = 820374066913 is a prime.

It is not a weakly prime, because it can be changed into another prime (820374071039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410187035504 + 410187035505.

It is an arithmetic number, because the mean of its divisors is an integer number (410187035505).

Almost surely, 2820374071009 is an apocalyptic number.

It is an amenable number.

820374071009 is a deficient number, since it is larger than the sum of its proper divisors (1).

820374071009 is an equidigital number, since it uses as much as digits as its factorization.

820374071009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84672, while the sum is 41.

The spelling of 820374071009 in words is "eight hundred twenty billion, three hundred seventy-four million, seventy-one thousand, nine".