Search a number
-
+
122330441041 is a prime number
BaseRepresentation
bin111000111101101110…
…1100110010101010001
3102200202102022021121121
41301323131212111101
54001013043103131
6132110421522241
711560314410104
oct1617335462521
9380672267547
10122330441041
1147975387a56
121b860273381
13b6c6c5a173
145cc6a5a73b
1532ae88b911
hex1c7b766551

122330441041 has 2 divisors, whose sum is σ = 122330441042. Its totient is φ = 122330441040.

The previous prime is 122330441039. The next prime is 122330441047. The reversal of 122330441041 is 140144033221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97344000000 + 24986441041 = 312000^2 + 158071^2 .

It is a cyclic number.

It is not a de Polignac number, because 122330441041 - 21 = 122330441039 is a prime.

Together with 122330441039, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 122330440997 and 122330441015.

It is not a weakly prime, because it can be changed into another prime (122330441047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61165220520 + 61165220521.

It is an arithmetic number, because the mean of its divisors is an integer number (61165220521).

Almost surely, 2122330441041 is an apocalyptic number.

It is an amenable number.

122330441041 is a deficient number, since it is larger than the sum of its proper divisors (1).

122330441041 is an equidigital number, since it uses as much as digits as its factorization.

122330441041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 122330441041 its reverse (140144033221), we get a palindrome (262474474262).

The spelling of 122330441041 in words is "one hundred twenty-two billion, three hundred thirty million, four hundred forty-one thousand, forty-one".