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305213329 is a prime number
BaseRepresentation
bin10010001100010…
…010111110010001
3210021022102222101
4102030102332101
51111113311304
650141440401
710364161531
oct2214227621
9707272871
10305213329
11147315323
1286270101
134b304a05
142c76d4c1
151bbdd8a4
hex12312f91

305213329 has 2 divisors, whose sum is σ = 305213330. Its totient is φ = 305213328.

The previous prime is 305213231. The next prime is 305213357. The reversal of 305213329 is 923312503.

It is an a-pointer prime, because the next prime (305213357) can be obtained adding 305213329 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231648400 + 73564929 = 15220^2 + 8577^2 .

It is an emirp because it is prime and its reverse (923312503) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 305213329 - 27 = 305213201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 305213297 and 305213306.

It is not a weakly prime, because it can be changed into another prime (305213369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152606664 + 152606665.

It is an arithmetic number, because the mean of its divisors is an integer number (152606665).

Almost surely, 2305213329 is an apocalyptic number.

It is an amenable number.

305213329 is a deficient number, since it is larger than the sum of its proper divisors (1).

305213329 is an equidigital number, since it uses as much as digits as its factorization.

305213329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 305213329 is about 17470.3557204769. The cubic root of 305213329 is about 673.2884513811.

The spelling of 305213329 in words is "three hundred five million, two hundred thirteen thousand, three hundred twenty-nine".