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12442232433101 is a prime number
BaseRepresentation
bin1011010100001110111011…
…0110000010100111001101
31122001110120120102100210012
42311003232312002213031
53112323143000324401
642243514353523005
72422631055454442
oct265035666024715
948043516370705
1012442232433101
113a677a2927279
12148b47a573465
136c33b37593c3
143102c8a2d9c9
151689b72c78bb
hexb50eed829cd

12442232433101 has 2 divisors, whose sum is σ = 12442232433102. Its totient is φ = 12442232433100.

The previous prime is 12442232433049. The next prime is 12442232433107. The reversal of 12442232433101 is 10133423224421.

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., 10286606511076 + 2155625922025 = 3207274^2 + 1468205^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12442232433101 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12442232433107) 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, 6221116216550 + 6221116216551.

It is an arithmetic number, because the mean of its divisors is an integer number (6221116216551).

Almost surely, 212442232433101 is an apocalyptic number.

It is an amenable number.

12442232433101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12442232433101 is an equidigital number, since it uses as much as digits as its factorization.

12442232433101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 12442232433101 its reverse (10133423224421), we get a palindrome (22575655657522).

The spelling of 12442232433101 in words is "twelve trillion, four hundred forty-two billion, two hundred thirty-two million, four hundred thirty-three thousand, one hundred one".