Search a number
-
+
123330223033 is a prime number
BaseRepresentation
bin111001011011100001…
…1011101101110111001
3102210100002120110200021
41302313003131232321
54010040014114113
6132353534410441
711624144412313
oct1626703355671
9383302513607
10123330223033
1148338771a66
121ba9b060a21
13b82611c044
145d7d74c7b3
15331c52848d
hex1cb70ddbb9

123330223033 has 2 divisors, whose sum is σ = 123330223034. Its totient is φ = 123330223032.

The previous prime is 123330223013. The next prime is 123330223057. The reversal of 123330223033 is 330322033321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103074386704 + 20255836329 = 321052^2 + 142323^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123330223033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123330222989 and 123330223007.

It is not a weakly prime, because it can be changed into another prime (123330223013) 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, 61665111516 + 61665111517.

It is an arithmetic number, because the mean of its divisors is an integer number (61665111517).

Almost surely, 2123330223033 is an apocalyptic number.

It is an amenable number.

123330223033 is a deficient number, since it is larger than the sum of its proper divisors (1).

123330223033 is an equidigital number, since it uses as much as digits as its factorization.

123330223033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 123330223033 its reverse (330322033321), we get a palindrome (453652256354).

The spelling of 123330223033 in words is "one hundred twenty-three billion, three hundred thirty million, two hundred twenty-three thousand, thirty-three".