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2121342329 is a prime number
BaseRepresentation
bin111111001110001…
…0001110101111001
312110211200100121102
41332130101311321
513321030423304
6550255421145
7103366053341
oct17634216571
95424610542
102121342329
11999495987
124b25247b5
1327a651262
14161a43d21
15c6380d1e
hex7e711d79

2121342329 has 2 divisors, whose sum is σ = 2121342330. Its totient is φ = 2121342328.

The previous prime is 2121342319. The next prime is 2121342347. The reversal of 2121342329 is 9232431212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1221642304 + 899700025 = 34952^2 + 29995^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121342329 - 220 = 2120293753 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121342319) 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, 1060671164 + 1060671165.

It is an arithmetic number, because the mean of its divisors is an integer number (1060671165).

Almost surely, 22121342329 is an apocalyptic number.

It is an amenable number.

2121342329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121342329 is an equidigital number, since it uses as much as digits as its factorization.

2121342329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 29.

The square root of 2121342329 is about 46058.0321876652. The cubic root of 2121342329 is about 1284.9027323207.

The spelling of 2121342329 in words is "two billion, one hundred twenty-one million, three hundred forty-two thousand, three hundred twenty-nine".