Search a number
-
+
122033123033 is a prime number
BaseRepresentation
bin111000110100110111…
…1011010111011011001
3102122222200211221222112
41301221233122323121
53444410434414113
6132021121202105
711550044300543
oct1615157327331
9378880757875
10122033123033
1147832575598
121b798790335
13b67a48b053
145c99384693
15329370c5a8
hex1c69bdaed9

122033123033 has 2 divisors, whose sum is σ = 122033123034. Its totient is φ = 122033123032.

The previous prime is 122033123029. The next prime is 122033123063. The reversal of 122033123033 is 330321330221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69339002329 + 52694120704 = 263323^2 + 229552^2 .

It is a cyclic number.

It is not a de Polignac number, because 122033123033 - 22 = 122033123029 is a prime.

It is not a weakly prime, because it can be changed into another prime (122033123063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61016561516 + 61016561517.

It is an arithmetic number, because the mean of its divisors is an integer number (61016561517).

Almost surely, 2122033123033 is an apocalyptic number.

It is an amenable number.

122033123033 is a deficient number, since it is larger than the sum of its proper divisors (1).

122033123033 is an equidigital number, since it uses as much as digits as its factorization.

122033123033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 122033123033 its reverse (330321330221), we get a palindrome (452354453254).

The spelling of 122033123033 in words is "one hundred twenty-two billion, thirty-three million, one hundred twenty-three thousand, thirty-three".