Search a number
-
+
331000230331 is a prime number
BaseRepresentation
bin1001101000100010010…
…01101011000110111011
31011122100222022220012001
410310101021223012323
520410342024332311
6412020455401431
732625331351531
oct4642111530673
91148328286161
10331000230331
11118416001171
1254197383277
13252a04b1974
1412040358151
1589240124c1
hex4d1126b1bb

331000230331 has 2 divisors, whose sum is σ = 331000230332. Its totient is φ = 331000230330.

The previous prime is 331000230329. The next prime is 331000230361. The reversal of 331000230331 is 133032000133.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 331000230331 - 21 = 331000230329 is a prime.

It is a super-2 number, since 2×3310002303312 (a number of 24 digits) contains 22 as substring.

Together with 331000230329, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 331000230299 and 331000230308.

It is not a weakly prime, because it can be changed into another prime (331000230361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165500115165 + 165500115166.

It is an arithmetic number, because the mean of its divisors is an integer number (165500115166).

Almost surely, 2331000230331 is an apocalyptic number.

331000230331 is a deficient number, since it is larger than the sum of its proper divisors (1).

331000230331 is an equidigital number, since it uses as much as digits as its factorization.

331000230331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 331000230331 its reverse (133032000133), we get a palindrome (464032230464).

The spelling of 331000230331 in words is "three hundred thirty-one billion, two hundred thirty thousand, three hundred thirty-one".