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2000212301 is a prime number
BaseRepresentation
bin111011100111000…
…1101000101001101
312011101202022110002
41313032031011031
513044023243201
6530251254045
7100365344513
oct16716150515
95141668402
102000212301
1193708211a
12479a4a325
1325b51cb99
1414d9124b3
15ba90576b
hex7738d14d

2000212301 has 2 divisors, whose sum is σ = 2000212302. Its totient is φ = 2000212300.

The previous prime is 2000212261. The next prime is 2000212303. The reversal of 2000212301 is 1032120002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1528888201 + 471324100 = 39101^2 + 21710^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000212301 - 26 = 2000212237 is a prime.

Together with 2000212303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000212303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000106150 + 1000106151.

It is an arithmetic number, because the mean of its divisors is an integer number (1000106151).

Almost surely, 22000212301 is an apocalyptic number.

It is an amenable number.

2000212301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000212301 is an equidigital number, since it uses as much as digits as its factorization.

2000212301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2000212301 is about 44723.7330843480. The cubic root of 2000212301 is about 1259.9656287340.

Adding to 2000212301 its reverse (1032120002), we get a palindrome (3032332303).

The spelling of 2000212301 in words is "two billion, two hundred twelve thousand, three hundred one".