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2712606121 is a prime number
BaseRepresentation
bin1010000110101111…
…0001010110101001
321000001020200001101
42201223301112221
521023411343441
61125100321401
7124135525441
oct24153612651
97001220041
102712606121
111172217145
12638543261
13342cab5a4
141ba395121
1510d225231
hexa1af15a9

2712606121 has 2 divisors, whose sum is σ = 2712606122. Its totient is φ = 2712606120.

The previous prime is 2712606103. The next prime is 2712606137. The reversal of 2712606121 is 1216062172.

2712606121 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., 2710660096 + 1946025 = 52064^2 + 1395^2 .

It is a cyclic number.

It is not a de Polignac number, because 2712606121 - 211 = 2712604073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2712606121.

It is not a weakly prime, because it can be changed into another prime (2712606101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1356303060 + 1356303061.

It is an arithmetic number, because the mean of its divisors is an integer number (1356303061).

Almost surely, 22712606121 is an apocalyptic number.

It is an amenable number.

2712606121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2712606121 is an equidigital number, since it uses as much as digits as its factorization.

2712606121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 2712606121 is about 52082.6854242367. The cubic root of 2712606121 is about 1394.6404131353.

Adding to 2712606121 its reverse (1216062172), we get a palindrome (3928668293).

The spelling of 2712606121 in words is "two billion, seven hundred twelve million, six hundred six thousand, one hundred twenty-one".