Search a number
-
+
301220318941 is a prime number
BaseRepresentation
bin1000110001000100010…
…00010100111011011101
31001210111120011122121221
410120202020110323131
514413344400201231
6350213444453341
730522343315453
oct4304210247335
91053446148557
10301220318941
11106824020a53
124a4660aa251
13225358b8719
14108172409d3
157c7e8aed11
hex4622214edd

301220318941 has 2 divisors, whose sum is σ = 301220318942. Its totient is φ = 301220318940.

The previous prime is 301220318939. The next prime is 301220318951. The reversal of 301220318941 is 149813022103.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195478936900 + 105741382041 = 442130^2 + 325179^2 .

It is an emirp because it is prime and its reverse (149813022103) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 301220318941 - 21 = 301220318939 is a prime.

It is a super-2 number, since 2×3012203189412 (a number of 24 digits) contains 22 as substring.

Together with 301220318939, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 301220318897 and 301220318906.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (301220318951) 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, 150610159470 + 150610159471.

It is an arithmetic number, because the mean of its divisors is an integer number (150610159471).

Almost surely, 2301220318941 is an apocalyptic number.

It is an amenable number.

301220318941 is a deficient number, since it is larger than the sum of its proper divisors (1).

301220318941 is an equidigital number, since it uses as much as digits as its factorization.

301220318941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 301220318941 in words is "three hundred one billion, two hundred twenty million, three hundred eighteen thousand, nine hundred forty-one".