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122505044953 is a prime number
BaseRepresentation
bin111001000010111011…
…1101010001111011001
3102201012120212002011011
41302011313222033121
54001342242414303
6132140020133521
711564534462314
oct1620567521731
9381176762134
10122505044953
1147a549a4505
121b8aa8372a1
13b724191ba5
145d01d0b97b
1532bed7b16d
hex1c85dea3d9

122505044953 has 2 divisors, whose sum is σ = 122505044954. Its totient is φ = 122505044952.

The previous prime is 122505044939. The next prime is 122505045011. The reversal of 122505044953 is 359440505221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119109885129 + 3395159824 = 345123^2 + 58268^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122505044953 is a prime.

It is a super-3 number, since 3×1225050449533 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (122505044153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61252522476 + 61252522477.

It is an arithmetic number, because the mean of its divisors is an integer number (61252522477).

Almost surely, 2122505044953 is an apocalyptic number.

It is an amenable number.

122505044953 is a deficient number, since it is larger than the sum of its proper divisors (1).

122505044953 is an equidigital number, since it uses as much as digits as its factorization.

122505044953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 122505044953 in words is "one hundred twenty-two billion, five hundred five million, forty-four thousand, nine hundred fifty-three".