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123031011133 is a prime number
BaseRepresentation
bin111001010010100111…
…0000011111100111101
3102202120020112221010001
41302211032003330331
54003431414324013
6132304125314301
711613552224362
oct1624516037475
9382506487101
10123031011133
11481a48866a8
121ba16a05991
13b7a9138b94
145d51b02469
153301122ddd
hex1ca5383f3d

123031011133 has 2 divisors, whose sum is σ = 123031011134. Its totient is φ = 123031011132.

The previous prime is 123031011107. The next prime is 123031011139. The reversal of 123031011133 is 331110130321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69779448964 + 53251562169 = 264158^2 + 230763^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123031011133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123031011133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123031011139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61515505566 + 61515505567.

It is an arithmetic number, because the mean of its divisors is an integer number (61515505567).

Almost surely, 2123031011133 is an apocalyptic number.

It is an amenable number.

123031011133 is a deficient number, since it is larger than the sum of its proper divisors (1).

123031011133 is an equidigital number, since it uses as much as digits as its factorization.

123031011133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 123031011133 its reverse (331110130321), we get a palindrome (454141141454).

The spelling of 123031011133 in words is "one hundred twenty-three billion, thirty-one million, eleven thousand, one hundred thirty-three".