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2122313329 is a prime number
BaseRepresentation
bin111111001111111…
…1110111001110001
312110220111200120101
41332133332321301
513321303011304
6550332312401
7103410236263
oct17637767161
95426450511
102122313329
11999a99464
124b2912701
1327a901206
14161c17b33
15c64c38a4
hex7e7fee71

2122313329 has 2 divisors, whose sum is σ = 2122313330. Its totient is φ = 2122313328.

The previous prime is 2122313317. The next prime is 2122313363. The reversal of 2122313329 is 9233132212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1285079104 + 837234225 = 35848^2 + 28935^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122313329 - 213 = 2122305137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2122313297 and 2122313306.

It is not a weakly prime, because it can be changed into another prime (2122313629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061156664 + 1061156665.

It is an arithmetic number, because the mean of its divisors is an integer number (1061156665).

Almost surely, 22122313329 is an apocalyptic number.

It is an amenable number.

2122313329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122313329 is an equidigital number, since it uses as much as digits as its factorization.

2122313329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 28.

The square root of 2122313329 is about 46068.5720312666. The cubic root of 2122313329 is about 1285.0987481835.

The spelling of 2122313329 in words is "two billion, one hundred twenty-two million, three hundred thirteen thousand, three hundred twenty-nine".