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304123121 is a prime number
BaseRepresentation
bin10010001000001…
…000110011110001
3210012021001111022
4102020020303301
51110323414441
650102225225
710352001221
oct2210106361
9705231438
10304123121
11146740225
1285a25215
134b012713
142c568081
151ba7584b
hex12208cf1

304123121 has 2 divisors, whose sum is σ = 304123122. Its totient is φ = 304123120.

The previous prime is 304123109. The next prime is 304123123. The reversal of 304123121 is 121321403.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 274366096 + 29757025 = 16564^2 + 5455^2 .

It is a cyclic number.

It is not a de Polignac number, because 304123121 - 226 = 237014257 is a prime.

Together with 304123123, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 304123121.

It is not a weakly prime, because it can be changed into another prime (304123123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152061560 + 152061561.

It is an arithmetic number, because the mean of its divisors is an integer number (152061561).

Almost surely, 2304123121 is an apocalyptic number.

It is an amenable number.

304123121 is a deficient number, since it is larger than the sum of its proper divisors (1).

304123121 is an equidigital number, since it uses as much as digits as its factorization.

304123121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 304123121 is about 17439.1261535663. The cubic root of 304123121 is about 672.4858431812.

Adding to 304123121 its reverse (121321403), we get a palindrome (425444524).

It can be divided in two parts, 30412 and 3121, that added together give a palindrome (33533).

The spelling of 304123121 in words is "three hundred four million, one hundred twenty-three thousand, one hundred twenty-one".