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2120312309 is a prime number
BaseRepresentation
bin111111001100001…
…0110010111110101
312110202202000200112
41332120112113311
513320244443214
6550221352405
7103354233353
oct17630262765
95422660615
102120312309
11998952025
124b2108705
1327a38048b
141618567d3
15c622aa3e
hex7e6165f5

2120312309 has 2 divisors, whose sum is σ = 2120312310. Its totient is φ = 2120312308.

The previous prime is 2120312303. The next prime is 2120312333. The reversal of 2120312309 is 9032130212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1949487409 + 170824900 = 44153^2 + 13070^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120312309 - 220 = 2119263733 is a prime.

It is a super-2 number, since 2×21203123092 = 8991448575393822962, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2120312303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060156154 + 1060156155.

It is an arithmetic number, because the mean of its divisors is an integer number (1060156155).

Almost surely, 22120312309 is an apocalyptic number.

It is an amenable number.

2120312309 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120312309 is an equidigital number, since it uses as much as digits as its factorization.

2120312309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 2120312309 is about 46046.8490670100. The cubic root of 2120312309 is about 1284.6947366950.

The spelling of 2120312309 in words is "two billion, one hundred twenty million, three hundred twelve thousand, three hundred nine".