Search a number
-
+
123011122133 is a prime number
BaseRepresentation
bin111001010010000001…
…0001100001111010101
3102202111212010110112102
41302210002030033111
54003411321402013
6132302135131445
711613221200064
oct1624402141725
9382455113472
10123011122133
1148194631809
121ba10213b85
13b7a4c94143
145d4d2061db
1532ee4e4d58
hex1ca408c3d5

123011122133 has 2 divisors, whose sum is σ = 123011122134. Its totient is φ = 123011122132.

The previous prime is 123011122109. The next prime is 123011122139. The reversal of 123011122133 is 331221110321.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66973816849 + 56037305284 = 258793^2 + 236722^2 .

It is a cyclic number.

It is not a de Polignac number, because 123011122133 - 234 = 105831252949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123011122139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61505561066 + 61505561067.

It is an arithmetic number, because the mean of its divisors is an integer number (61505561067).

Almost surely, 2123011122133 is an apocalyptic number.

It is an amenable number.

123011122133 is a deficient number, since it is larger than the sum of its proper divisors (1).

123011122133 is an equidigital number, since it uses as much as digits as its factorization.

123011122133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 123011122133 its reverse (331221110321), we get a palindrome (454232232454).

The spelling of 123011122133 in words is "one hundred twenty-three billion, eleven million, one hundred twenty-two thousand, one hundred thirty-three".