Search a number
-
+
331295141 is a prime number
BaseRepresentation
bin10011101111110…
…010100110100101
3212002101112111102
4103233302212211
51134302421031
652512445445
711131651022
oct2357624645
9762345442
10331295141
11160009a41
1292b49885
1353837438
1431ddc549
151e1417cb
hex13bf29a5

331295141 has 2 divisors, whose sum is σ = 331295142. Its totient is φ = 331295140.

The previous prime is 331295131. The next prime is 331295143. The reversal of 331295141 is 141592133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 258534241 + 72760900 = 16079^2 + 8530^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331295141 is a prime.

Together with 331295143, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331295143) 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, 165647570 + 165647571.

It is an arithmetic number, because the mean of its divisors is an integer number (165647571).

Almost surely, 2331295141 is an apocalyptic number.

It is an amenable number.

331295141 is a deficient number, since it is larger than the sum of its proper divisors (1).

331295141 is an equidigital number, since it uses as much as digits as its factorization.

331295141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3240, while the sum is 29.

The square root of 331295141 is about 18201.5147995984. The cubic root of 331295141 is about 691.9451805115.

The spelling of 331295141 in words is "three hundred thirty-one million, two hundred ninety-five thousand, one hundred forty-one".