Search a number
-
+
122749105273 is a prime number
BaseRepresentation
bin111001001010001101…
…0101011010001111001
3102201211121002121222021
41302110122223101321
54002342232332043
6132220135154441
711603560115404
oct1622432532171
9381747077867
10122749105273
114806a740653
121b958515a21
13b762904b92
145d264bcd3b
1532d64da3ed
hex1c946ab479

122749105273 has 2 divisors, whose sum is σ = 122749105274. Its totient is φ = 122749105272.

The previous prime is 122749105261. The next prime is 122749105291. The reversal of 122749105273 is 372501947221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114804413584 + 7944691689 = 338828^2 + 89133^2 .

It is a cyclic number.

It is not a de Polignac number, because 122749105273 - 221 = 122747008121 is a prime.

It is not a weakly prime, because it can be changed into another prime (122749100273) 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, 61374552636 + 61374552637.

It is an arithmetic number, because the mean of its divisors is an integer number (61374552637).

Almost surely, 2122749105273 is an apocalyptic number.

It is an amenable number.

122749105273 is a deficient number, since it is larger than the sum of its proper divisors (1).

122749105273 is an equidigital number, since it uses as much as digits as its factorization.

122749105273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 122749105273 in words is "one hundred twenty-two billion, seven hundred forty-nine million, one hundred five thousand, two hundred seventy-three".