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2034122021 is a prime number
BaseRepresentation
bin111100100111110…
…0011110100100101
312020202120002211122
41321033203310211
513131213401041
6533502143325
7101256515621
oct17117436445
95222502748
102034122021
11954232a88
12489281b45
132655635c9
1415421c181
15bd8a2c4b
hex793e3d25

2034122021 has 2 divisors, whose sum is σ = 2034122022. Its totient is φ = 2034122020.

The previous prime is 2034122011. The next prime is 2034122023. The reversal of 2034122021 is 1202214302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1254930625 + 779191396 = 35425^2 + 27914^2 .

It is a cyclic number.

It is not a de Polignac number, because 2034122021 - 214 = 2034105637 is a prime.

It is a Sophie Germain prime.

Together with 2034122023, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2034122023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1017061010 + 1017061011.

It is an arithmetic number, because the mean of its divisors is an integer number (1017061011).

Almost surely, 22034122021 is an apocalyptic number.

It is an amenable number.

2034122021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2034122021 is an equidigital number, since it uses as much as digits as its factorization.

2034122021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2034122021 is about 45101.2419008612. The cubic root of 2034122021 is about 1267.0458588259.

Adding to 2034122021 its reverse (1202214302), we get a palindrome (3236336323).

The spelling of 2034122021 in words is "two billion, thirty-four million, one hundred twenty-two thousand, twenty-one".