Search a number
-
+
303123113131 is a prime number
BaseRepresentation
bin1000110100100111000…
…10111010010010101011
31001222102011121121112211
410122103202322102223
514431244004110011
6351130340145551
730620446643416
oct4322342722253
91058364547484
10303123113131
11107610105433
124a8b73982b7
1322779b8a047
1410957c34b7d
157d41970b21
hex46938ba4ab

303123113131 has 2 divisors, whose sum is σ = 303123113132. Its totient is φ = 303123113130.

The previous prime is 303123113087. The next prime is 303123113141. The reversal of 303123113131 is 131311321303.

It is a strong prime.

It is an emirp because it is prime and its reverse (131311321303) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 303123113131 - 29 = 303123112619 is a prime.

It is a super-2 number, since 2×3031231131312 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (303123113141) 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, 151561556565 + 151561556566.

It is an arithmetic number, because the mean of its divisors is an integer number (151561556566).

Almost surely, 2303123113131 is an apocalyptic number.

303123113131 is a deficient number, since it is larger than the sum of its proper divisors (1).

303123113131 is an equidigital number, since it uses as much as digits as its factorization.

303123113131 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 22.

Adding to 303123113131 its reverse (131311321303), we get a palindrome (434434434434).

The spelling of 303123113131 in words is "three hundred three billion, one hundred twenty-three million, one hundred thirteen thousand, one hundred thirty-one".