Search a number
-
+
304321120153 is a prime number
BaseRepresentation
bin1000110110110101111…
…00111100011110011001
31002002111122212200020021
410123122330330132121
514441222201321103
6351445253430441
730662234561311
oct4333274743631
91062448780207
10304321120153
1110807537a886
124ab9063b421
132290b13433b
1410a2cda6441
157db1c15bbd
hex46daf3c799

304321120153 has 2 divisors, whose sum is σ = 304321120154. Its totient is φ = 304321120152.

The previous prime is 304321120139. The next prime is 304321120223. The reversal of 304321120153 is 351021123403.

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., 200911925824 + 103409194329 = 448232^2 + 321573^2 .

It is a cyclic number.

It is not a de Polignac number, because 304321120153 - 217 = 304320989081 is a prime.

It is a super-2 number, since 2×3043211201532 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (304321120253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152160560076 + 152160560077.

It is an arithmetic number, because the mean of its divisors is an integer number (152160560077).

Almost surely, 2304321120153 is an apocalyptic number.

It is an amenable number.

304321120153 is a deficient number, since it is larger than the sum of its proper divisors (1).

304321120153 is an equidigital number, since it uses as much as digits as its factorization.

304321120153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 304321120153 its reverse (351021123403), we get a palindrome (655342243556).

The spelling of 304321120153 in words is "three hundred four billion, three hundred twenty-one million, one hundred twenty thousand, one hundred fifty-three".