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123211303133 is a prime number
BaseRepresentation
bin111001010111111110…
…1110100100011011101
3102210000210210201020112
41302233331310203131
54004314043200013
6132334045455405
711621201540132
oct1625775644335
9383023721215
10123211303133
1148287628756
121ba67271565
13b8075b2939
145d6ba34589
153311d87ba8
hex1caff748dd

123211303133 has 2 divisors, whose sum is σ = 123211303134. Its totient is φ = 123211303132.

The previous prime is 123211303129. The next prime is 123211303153. The reversal of 123211303133 is 331303112321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115614960484 + 7596342649 = 340022^2 + 87157^2 .

It is a cyclic number.

It is not a de Polignac number, because 123211303133 - 22 = 123211303129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123211303099 and 123211303108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123211303153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61605651566 + 61605651567.

It is an arithmetic number, because the mean of its divisors is an integer number (61605651567).

Almost surely, 2123211303133 is an apocalyptic number.

It is an amenable number.

123211303133 is a deficient number, since it is larger than the sum of its proper divisors (1).

123211303133 is an equidigital number, since it uses as much as digits as its factorization.

123211303133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 123211303133 its reverse (331303112321), we get a palindrome (454514415454).

The spelling of 123211303133 in words is "one hundred twenty-three billion, two hundred eleven million, three hundred three thousand, one hundred thirty-three".