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122053103441 is a prime number
BaseRepresentation
bin111000110101011101…
…1101000111101010001
3102200001002110001221122
41301222323220331101
53444431043302231
6132023113332025
711550406155503
oct1615273507521
9380032401848
10122053103441
1147842882125
121b7a3407015
13b681665589
145c9bca5d73
15329535777b
hex1c6aee8f51

122053103441 has 2 divisors, whose sum is σ = 122053103442. Its totient is φ = 122053103440.

The previous prime is 122053103413. The next prime is 122053103453. The reversal of 122053103441 is 144301350221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79174704400 + 42878399041 = 281380^2 + 207071^2 .

It is a cyclic number.

It is not a de Polignac number, because 122053103441 - 218 = 122052841297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122053103441.

It is not a weakly prime, because it can be changed into another prime (122053103041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61026551720 + 61026551721.

It is an arithmetic number, because the mean of its divisors is an integer number (61026551721).

Almost surely, 2122053103441 is an apocalyptic number.

It is an amenable number.

122053103441 is a deficient number, since it is larger than the sum of its proper divisors (1).

122053103441 is an equidigital number, since it uses as much as digits as its factorization.

122053103441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 122053103441 its reverse (144301350221), we get a palindrome (266354453662).

The spelling of 122053103441 in words is "one hundred twenty-two billion, fifty-three million, one hundred three thousand, four hundred forty-one".