Search a number
-
+
30303131249 is a prime number
BaseRepresentation
bin11100001110001101…
…010001011001110001
32220012212200120021102
4130032031101121301
5444030100144444
621530541134145
72121640236266
oct341615213161
986185616242
1030303131249
1111940367026
125a5855a355
132b1c11b1c1
1416767d526d
15bc555584e
hex70e351671

30303131249 has 2 divisors, whose sum is σ = 30303131250. Its totient is φ = 30303131248.

The previous prime is 30303131233. The next prime is 30303131267. The reversal of 30303131249 is 94213130303.

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., 30262081600 + 41049649 = 173960^2 + 6407^2 .

It is a cyclic number.

It is not a de Polignac number, because 30303131249 - 24 = 30303131233 is a prime.

It is not a weakly prime, because it can be changed into another prime (30303131219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15151565624 + 15151565625.

It is an arithmetic number, because the mean of its divisors is an integer number (15151565625).

Almost surely, 230303131249 is an apocalyptic number.

It is an amenable number.

30303131249 is a deficient number, since it is larger than the sum of its proper divisors (1).

30303131249 is an equidigital number, since it uses as much as digits as its factorization.

30303131249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 29.

The spelling of 30303131249 in words is "thirty billion, three hundred three million, one hundred thirty-one thousand, two hundred forty-nine".