Search a number
-
+
331133149 is a prime number
BaseRepresentation
bin10011101111001…
…011000011011101
3212002002022021201
4103233023003131
51134232230044
652505155501
711130404524
oct2357130335
9762068251
10331133149
1115aa09266
1292a8bb91
13537ab799
1431d994bb
151e10d7d4
hex13bcb0dd

331133149 has 2 divisors, whose sum is σ = 331133150. Its totient is φ = 331133148.

The previous prime is 331133141. The next prime is 331133203. The reversal of 331133149 is 941331133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 330876100 + 257049 = 18190^2 + 507^2 .

It is an emirp because it is prime and its reverse (941331133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331133149 - 23 = 331133141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331133141) 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, 165566574 + 165566575.

It is an arithmetic number, because the mean of its divisors is an integer number (165566575).

Almost surely, 2331133149 is an apocalyptic number.

It is an amenable number.

331133149 is a deficient number, since it is larger than the sum of its proper divisors (1).

331133149 is an equidigital number, since it uses as much as digits as its factorization.

331133149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2916, while the sum is 28.

The square root of 331133149 is about 18197.0642961990. The cubic root of 331133149 is about 691.8323829441.

The spelling of 331133149 in words is "three hundred thirty-one million, one hundred thirty-three thousand, one hundred forty-nine".