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2106935009 is a prime number
BaseRepresentation
bin111110110010101…
…0100011011100001
312102211120101110222
41331211110123201
513303333410014
6545022532425
7103132436444
oct17545243341
95384511428
102106935009
11991345503
124a9737115
1327767860a
1415db7365b
15c4e8708e
hex7d9546e1

2106935009 has 2 divisors, whose sum is σ = 2106935010. Its totient is φ = 2106935008.

The previous prime is 2106934981. The next prime is 2106935041. The reversal of 2106935009 is 9005396012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1889814784 + 217120225 = 43472^2 + 14735^2 .

It is a cyclic number.

It is not a de Polignac number, because 2106935009 - 212 = 2106930913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2106935009.

It is not a weakly prime, because it can be changed into another prime (2106935209) 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, 1053467504 + 1053467505.

It is an arithmetic number, because the mean of its divisors is an integer number (1053467505).

Almost surely, 22106935009 is an apocalyptic number.

It is an amenable number.

2106935009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2106935009 is an equidigital number, since it uses as much as digits as its factorization.

2106935009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 2106935009 is about 45901.3617336131. The cubic root of 2106935009 is about 1281.9872713302.

The spelling of 2106935009 in words is "two billion, one hundred six million, nine hundred thirty-five thousand, nine".