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2000212309 is a prime number
BaseRepresentation
bin111011100111000…
…1101000101010101
312011101202022110101
41313032031011111
513044023243214
6530251254101
7100365344524
oct16716150525
95141668411
102000212309
11937082127
12479a4a331
1325b51cba4
1414d9124bb
15ba905774
hex7738d155

2000212309 has 2 divisors, whose sum is σ = 2000212310. Its totient is φ = 2000212308.

The previous prime is 2000212303. The next prime is 2000212369. The reversal of 2000212309 is 9032120002.

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., 1861491025 + 138721284 = 43145^2 + 11778^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000212309 - 23 = 2000212301 is a prime.

It is a super-2 number, since 2×20002123092 = 8001698562150222962, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000212301) 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, 1000106154 + 1000106155.

It is an arithmetic number, because the mean of its divisors is an integer number (1000106155).

Almost surely, 22000212309 is an apocalyptic number.

It is an amenable number.

2000212309 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000212309 is an equidigital number, since it uses as much as digits as its factorization.

2000212309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 2000212309 is about 44723.7331737859. The cubic root of 2000212309 is about 1259.9656304138.

The spelling of 2000212309 in words is "two billion, two hundred twelve thousand, three hundred nine".