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122344181041 is a prime number
BaseRepresentation
bin111000111110001001…
…0000000110100110001
3102200210101011100100111
41301330102000310301
54001030102243131
6132112032221321
711560542244315
oct1617422006461
9380711140314
10122344181041
1147982112025
121b86499a841
13b6c9a5b144
145cc87d5b45
1532b0ba2ab1
hex1c7c480d31

122344181041 has 2 divisors, whose sum is σ = 122344181042. Its totient is φ = 122344181040.

The previous prime is 122344181039. The next prime is 122344181077. The reversal of 122344181041 is 140181443221.

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., 107043480625 + 15300700416 = 327175^2 + 123696^2 .

It is an emirp because it is prime and its reverse (140181443221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122344181041 - 21 = 122344181039 is a prime.

Together with 122344181039, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 122344180994 and 122344181012.

It is not a weakly prime, because it can be changed into another prime (122344191041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61172090520 + 61172090521.

It is an arithmetic number, because the mean of its divisors is an integer number (61172090521).

Almost surely, 2122344181041 is an apocalyptic number.

It is an amenable number.

122344181041 is a deficient number, since it is larger than the sum of its proper divisors (1).

122344181041 is an equidigital number, since it uses as much as digits as its factorization.

122344181041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 122344181041 in words is "one hundred twenty-two billion, three hundred forty-four million, one hundred eighty-one thousand, forty-one".