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2120327681 is a prime number
BaseRepresentation
bin111111001100001…
…1010001000000001
312110202202210202212
41332120122020001
513320300441211
6550221551505
7103354326233
oct17630321001
95422683685
102120327681
1199896262a
124b2115595
1327a387484
1416185c253
15c623038b
hex7e61a201

2120327681 has 2 divisors, whose sum is σ = 2120327682. Its totient is φ = 2120327680.

The previous prime is 2120327659. The next prime is 2120327719. The reversal of 2120327681 is 1867230212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1511965456 + 608362225 = 38884^2 + 24665^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120327681 - 230 = 1046585857 is a prime.

It is a super-2 number, since 2×21203276812 = 8991578949629675522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2120327641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060163840 + 1060163841.

It is an arithmetic number, because the mean of its divisors is an integer number (1060163841).

Almost surely, 22120327681 is an apocalyptic number.

It is an amenable number.

2120327681 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120327681 is an equidigital number, since it uses as much as digits as its factorization.

2120327681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 2120327681 is about 46047.0159836661. The cubic root of 2120327681 is about 1284.6978413131.

Adding to 2120327681 its reverse (1867230212), we get a palindrome (3987557893).

It can be divided in two parts, 21203 and 27681, that added together give a palindrome (48884).

The spelling of 2120327681 in words is "two billion, one hundred twenty million, three hundred twenty-seven thousand, six hundred eighty-one".