Search a number
-
+
332013138132331 is a prime number
BaseRepresentation
bin100101101111101101101010…
…1001010001011110101101011
31121112120010221110012110201001
41023133123111022023311223
5322004200401330213311
63134044421404135431
7126635105034023215
oct11337332512136553
91545503843173631
10332013138132331
1196875a87a02667
12312a2454237577
1311334920c82316
145bdb7434b75b5
15285b654c504c1
hex12df6d528bd6b

332013138132331 has 2 divisors, whose sum is σ = 332013138132332. Its totient is φ = 332013138132330.

The previous prime is 332013138132271. The next prime is 332013138132427. The reversal of 332013138132331 is 133231831310233.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 332013138132331 - 213 = 332013138124139 is a prime.

It is a super-2 number, since 2×3320131381323312 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (332013138132031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166006569066165 + 166006569066166.

It is an arithmetic number, because the mean of its divisors is an integer number (166006569066166).

Almost surely, 2332013138132331 is an apocalyptic number.

332013138132331 is a deficient number, since it is larger than the sum of its proper divisors (1).

332013138132331 is an equidigital number, since it uses as much as digits as its factorization.

332013138132331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 37.

Adding to 332013138132331 its reverse (133231831310233), we get a palindrome (465244969442564).

The spelling of 332013138132331 in words is "three hundred thirty-two trillion, thirteen billion, one hundred thirty-eight million, one hundred thirty-two thousand, three hundred thirty-one".