Search a number
-
+
303331121 is a prime number
BaseRepresentation
bin10010000101000…
…111011100110001
3210010202211001222
4102011013130301
51110123043441
650033234425
710342162202
oct2205073461
9703684058
10303331121
1114624a185
1285702a15
134aac6092
142c3dd5a9
151b96ad4b
hex12147731

303331121 has 2 divisors, whose sum is σ = 303331122. Its totient is φ = 303331120.

The previous prime is 303331103. The next prime is 303331129. The reversal of 303331121 is 121133303.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 287641600 + 15689521 = 16960^2 + 3961^2 .

It is a cyclic number.

It is not a de Polignac number, because 303331121 - 26 = 303331057 is a prime.

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 303331121.

It is not a weakly prime, because it can be changed into another prime (303331129) 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, 151665560 + 151665561.

It is an arithmetic number, because the mean of its divisors is an integer number (151665561).

Almost surely, 2303331121 is an apocalyptic number.

It is an amenable number.

303331121 is a deficient number, since it is larger than the sum of its proper divisors (1).

303331121 is an equidigital number, since it uses as much as digits as its factorization.

303331121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 303331121 is about 17416.4037906796. The cubic root of 303331121 is about 671.9015712614.

Adding to 303331121 its reverse (121133303), we get a palindrome (424464424).

The spelling of 303331121 in words is "three hundred three million, three hundred thirty-one thousand, one hundred twenty-one".