Search a number
-
+
122533151333 is a prime number
BaseRepresentation
bin111001000011110001…
…0111000001001100101
3102201021112202000212012
41302013202320021211
54001421441320313
6132142502404005
711565325413155
oct1620742701145
9381245660765
10122533151333
1147a6985121a
121b8b8130605
13b729c52c98
145d05946765
1532c257dda8
hex1c878b8265

122533151333 has 2 divisors, whose sum is σ = 122533151334. Its totient is φ = 122533151332.

The previous prime is 122533151311. The next prime is 122533151339. The reversal of 122533151333 is 333151335221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87854145604 + 34679005729 = 296402^2 + 186223^2 .

It is an emirp because it is prime and its reverse (333151335221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122533151333 - 228 = 122264715877 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122533151333.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122533151339) 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, 61266575666 + 61266575667.

It is an arithmetic number, because the mean of its divisors is an integer number (61266575667).

Almost surely, 2122533151333 is an apocalyptic number.

It is an amenable number.

122533151333 is a deficient number, since it is larger than the sum of its proper divisors (1).

122533151333 is an equidigital number, since it uses as much as digits as its factorization.

122533151333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24300, while the sum is 32.

Adding to 122533151333 its reverse (333151335221), we get a palindrome (455684486554).

The spelling of 122533151333 in words is "one hundred twenty-two billion, five hundred thirty-three million, one hundred fifty-one thousand, three hundred thirty-three".