Search a number
-
+
331414331 is a prime number
BaseRepresentation
bin10011110000001…
…111101100111011
3212002121120222212
4103300033230323
51134320224311
652515205335
711132655353
oct2360175473
9762546885
10331414331
11160090546
1292ba684b
1353879771
143202db63
151e166c8b
hex13c0fb3b

331414331 has 2 divisors, whose sum is σ = 331414332. Its totient is φ = 331414330.

The previous prime is 331414319. The next prime is 331414367. The reversal of 331414331 is 133414133.

It is a weak prime.

It is an emirp because it is prime and its reverse (133414133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331414331 - 26 = 331414267 is a prime.

It is a super-2 number, since 2×3314143312 = 219670917584355122, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 331414297 and 331414306.

It is not a weakly prime, because it can be changed into another prime (331414381) 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, 165707165 + 165707166.

It is an arithmetic number, because the mean of its divisors is an integer number (165707166).

Almost surely, 2331414331 is an apocalyptic number.

331414331 is a deficient number, since it is larger than the sum of its proper divisors (1).

331414331 is an equidigital number, since it uses as much as digits as its factorization.

331414331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 23.

The square root of 331414331 is about 18204.7886832009. The cubic root of 331414331 is about 692.0281508980.

Adding to 331414331 its reverse (133414133), we get a palindrome (464828464).

The spelling of 331414331 in words is "three hundred thirty-one million, four hundred fourteen thousand, three hundred thirty-one".