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122805883141 is a prime number
BaseRepresentation
bin111001001011111001…
…1010001000100000101
3102201222112221020120021
41302113303101010011
54003001301230031
6132225524135141
711605146532504
oct1622763210405
9381875836507
10122805883141
11480997a0707
121b9735374b1
13b7715c4356
145d2dc5c83b
1532db4a3511
hex1c97cd1105

122805883141 has 2 divisors, whose sum is σ = 122805883142. Its totient is φ = 122805883140.

The previous prime is 122805883121. The next prime is 122805883159. The reversal of 122805883141 is 141388508221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104617314916 + 18188568225 = 323446^2 + 134865^2 .

It is a cyclic number.

It is not a de Polignac number, because 122805883141 - 29 = 122805882629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122805883121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61402941570 + 61402941571.

It is an arithmetic number, because the mean of its divisors is an integer number (61402941571).

Almost surely, 2122805883141 is an apocalyptic number.

It is an amenable number.

122805883141 is a deficient number, since it is larger than the sum of its proper divisors (1).

122805883141 is an equidigital number, since it uses as much as digits as its factorization.

122805883141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 122880, while the sum is 43.

The spelling of 122805883141 in words is "one hundred twenty-two billion, eight hundred five million, eight hundred eighty-three thousand, one hundred forty-one".