Search a number
-
+
331042303411231 is a prime number
BaseRepresentation
bin100101101000101001100101…
…0111001101000010000011111
31121102010100001022101201111211
41023101103022321220100133
5321342244114133124411
63132022422410525251
7126505005612035626
oct11321231271502037
91542110038351454
10331042303411231
1196531286025455
1231166271736827
131129420315cb79
145ba67666b26bd
152841283bcd221
hex12d14cae6841f

331042303411231 has 2 divisors, whose sum is σ = 331042303411232. Its totient is φ = 331042303411230.

The previous prime is 331042303411229. The next prime is 331042303411241. The reversal of 331042303411231 is 132114303240133.

It is a weak prime.

It is an emirp because it is prime and its reverse (132114303240133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331042303411231 - 21 = 331042303411229 is a prime.

It is a super-2 number, since 2×3310423034112312 (a number of 30 digits) contains 22 as substring.

Together with 331042303411229, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 331042303411193 and 331042303411202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331042303411241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165521151705615 + 165521151705616.

It is an arithmetic number, because the mean of its divisors is an integer number (165521151705616).

Almost surely, 2331042303411231 is an apocalyptic number.

331042303411231 is a deficient number, since it is larger than the sum of its proper divisors (1).

331042303411231 is an equidigital number, since it uses as much as digits as its factorization.

331042303411231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 331042303411231 its reverse (132114303240133), we get a palindrome (463156606651364).

The spelling of 331042303411231 in words is "three hundred thirty-one trillion, forty-two billion, three hundred three million, four hundred eleven thousand, two hundred thirty-one".