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2820806442229 is a prime number
BaseRepresentation
bin101001000011000101001…
…010100111110011110101
3100222122222211222100222011
4221003011022213303311
5332204002422122404
65555505515404221
7410540133101356
oct51030512476365
910878884870864
102820806442229
1199832a775586
12396836453671
13176001cb5909
149a756261d2d
154d597c36604
hex290c52a7cf5

2820806442229 has 2 divisors, whose sum is σ = 2820806442230. Its totient is φ = 2820806442228.

The previous prime is 2820806442143. The next prime is 2820806442247. The reversal of 2820806442229 is 9222446080282.

2820806442229 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2088669519729 + 732136922500 = 1445223^2 + 855650^2 .

It is a cyclic number.

It is not a de Polignac number, because 2820806442229 - 27 = 2820806442101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2820806442269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1410403221114 + 1410403221115.

It is an arithmetic number, because the mean of its divisors is an integer number (1410403221115).

Almost surely, 22820806442229 is an apocalyptic number.

It is an amenable number.

2820806442229 is a deficient number, since it is larger than the sum of its proper divisors (1).

2820806442229 is an equidigital number, since it uses as much as digits as its factorization.

2820806442229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1769472, while the sum is 49.

The spelling of 2820806442229 in words is "two trillion, eight hundred twenty billion, eight hundred six million, four hundred forty-two thousand, two hundred twenty-nine".