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122020145441 is a prime number
BaseRepresentation
bin111000110100011110…
…1111010100100100001
3102122221210102122001222
41301220331322210201
53444344124123231
6132015535104425
711546526060155
oct1615075724441
9378853378058
10122020145441
1147826211307
121b794372115
13b6778960bc
145c97767065
1532924e727b
hex1c68f7a921

122020145441 has 2 divisors, whose sum is σ = 122020145442. Its totient is φ = 122020145440.

The previous prime is 122020145431. The next prime is 122020145449. The reversal of 122020145441 is 144541020221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90878131600 + 31142013841 = 301460^2 + 176471^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122020145441 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122020145441.

It is not a weakly prime, because it can be changed into another prime (122020145449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61010072720 + 61010072721.

It is an arithmetic number, because the mean of its divisors is an integer number (61010072721).

Almost surely, 2122020145441 is an apocalyptic number.

It is an amenable number.

122020145441 is a deficient number, since it is larger than the sum of its proper divisors (1).

122020145441 is an equidigital number, since it uses as much as digits as its factorization.

122020145441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 122020145441 its reverse (144541020221), we get a palindrome (266561165662).

The spelling of 122020145441 in words is "one hundred twenty-two billion, twenty million, one hundred forty-five thousand, four hundred forty-one".