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2134144121 is a prime number
BaseRepresentation
bin111111100110100…
…0111010001111001
312111201202202100212
41333031013101321
513332320102441
6551434040505
7103612632344
oct17715072171
95451682325
102134144121
119a573a07a
124b6879135
132801b4195
1416361745b
15c755deeb
hex7f347479

2134144121 has 2 divisors, whose sum is σ = 2134144122. Its totient is φ = 2134144120.

The previous prime is 2134144081. The next prime is 2134144141. The reversal of 2134144121 is 1214414312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2125210000 + 8934121 = 46100^2 + 2989^2 .

It is a cyclic number.

It is not a de Polignac number, because 2134144121 - 210 = 2134143097 is a prime.

It is a super-3 number, since 3×21341441213 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2134144141) 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, 1067072060 + 1067072061.

It is an arithmetic number, because the mean of its divisors is an integer number (1067072061).

Almost surely, 22134144121 is an apocalyptic number.

It is an amenable number.

2134144121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2134144121 is an equidigital number, since it uses as much as digits as its factorization.

2134144121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 768, while the sum is 23.

The square root of 2134144121 is about 46196.7977353409. The cubic root of 2134144121 is about 1287.4822435858.

Adding to 2134144121 its reverse (1214414312), we get a palindrome (3348558433).

The spelling of 2134144121 in words is "two billion, one hundred thirty-four million, one hundred forty-four thousand, one hundred twenty-one".