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2032123217 is a prime number
BaseRepresentation
bin111100100011111…
…1011110101010001
312020121210112222212
41321013323311101
513130210420332
6533351241505
7101233522325
oct17107736521
95217715885
102032123217
11953098283
12488679295
13265013897
14153c5b985
15bd60a8b2
hex791fbd51

2032123217 has 2 divisors, whose sum is σ = 2032123218. Its totient is φ = 2032123216.

The previous prime is 2032123201. The next prime is 2032123231. The reversal of 2032123217 is 7123212302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1731308881 + 300814336 = 41609^2 + 17344^2 .

It is a cyclic number.

It is not a de Polignac number, because 2032123217 - 24 = 2032123201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2032123192 and 2032123201.

It is not a weakly prime, because it can be changed into another prime (2032123277) 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, 1016061608 + 1016061609.

It is an arithmetic number, because the mean of its divisors is an integer number (1016061609).

Almost surely, 22032123217 is an apocalyptic number.

It is an amenable number.

2032123217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2032123217 is an equidigital number, since it uses as much as digits as its factorization.

2032123217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 2032123217 is about 45079.0773752081. The cubic root of 2032123217 is about 1266.6307073433.

Adding to 2032123217 its reverse (7123212302), we get a palindrome (9155335519).

The spelling of 2032123217 in words is "two billion, thirty-two million, one hundred twenty-three thousand, two hundred seventeen".