Search a number
-
+
123003534541241 is a prime number
BaseRepresentation
bin11011111101111011111101…
…111110111000000110111001
3121010112000121210220121110102
4123331323331332320012321
5112110242214320304431
61113335013233525145
734623466152432224
oct3375737576700671
9533460553817412
10123003534541241
113621356260a052
1211966aaaa137b5
1353832502cb1a3
14225358d5565bb
15e3490e32adcb
hex6fdefdfb81b9

123003534541241 has 2 divisors, whose sum is σ = 123003534541242. Its totient is φ = 123003534541240.

The previous prime is 123003534541189. The next prime is 123003534541289. The reversal of 123003534541241 is 142145435300321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69192800604841 + 53810733936400 = 8318221^2 + 7335580^2 .

It is a cyclic number.

It is not a de Polignac number, because 123003534541241 - 222 = 123003530346937 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123003534541195 and 123003534541204.

It is not a weakly prime, because it can be changed into another prime (123003534541141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61501767270620 + 61501767270621.

It is an arithmetic number, because the mean of its divisors is an integer number (61501767270621).

Almost surely, 2123003534541241 is an apocalyptic number.

It is an amenable number.

123003534541241 is a deficient number, since it is larger than the sum of its proper divisors (1).

123003534541241 is an equidigital number, since it uses as much as digits as its factorization.

123003534541241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172800, while the sum is 38.

Adding to 123003534541241 its reverse (142145435300321), we get a palindrome (265148969841562).

The spelling of 123003534541241 in words is "one hundred twenty-three trillion, three billion, five hundred thirty-four million, five hundred forty-one thousand, two hundred forty-one".