Search a number
-
+
12332123303033 is a prime number
BaseRepresentation
bin1011001101110100101111…
…0101000010110001111001
31121122221100212200000002202
42303131023311002301321
53104022142031144113
642121144345035545
72411652340344512
oct263351365026171
947587325600082
1012332123303033
113a2502a11a126
12147206b185bb5
136b5bb67700c1
14308c4115da09
15165bc0825258
hexb374bd42c79

12332123303033 has 2 divisors, whose sum is σ = 12332123303034. Its totient is φ = 12332123303032.

The previous prime is 12332123302979. The next prime is 12332123303051. The reversal of 12332123303033 is 33030332123321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8236142337424 + 4095980965609 = 2869868^2 + 2023853^2 .

It is a cyclic number.

It is not a de Polignac number, because 12332123303033 - 242 = 7934076791929 is a prime.

It is a super-2 number, since 2×123321233030332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12332123302987 and 12332123303005.

It is not a weakly prime, because it can be changed into another prime (12332123303053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6166061651516 + 6166061651517.

It is an arithmetic number, because the mean of its divisors is an integer number (6166061651517).

Almost surely, 212332123303033 is an apocalyptic number.

It is an amenable number.

12332123303033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12332123303033 is an equidigital number, since it uses as much as digits as its factorization.

12332123303033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 12332123303033 its reverse (33030332123321), we get a palindrome (45362455426354).

The spelling of 12332123303033 in words is "twelve trillion, three hundred thirty-two billion, one hundred twenty-three million, three hundred three thousand, thirty-three".