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131222121330029 is a prime number
BaseRepresentation
bin11101110101100010000111…
…111011011011010101101101
3122012121201020020220101201212
4131311202013323123111231
5114144420401030030104
61143030335455244205
736432325331464202
oct3565420773332555
9565551206811655
10131222121330029
11388a1a9759aa54
1212873886b19665
13582b267b93292
14245928260bca9
1510285c637c36e
hex775887edb56d

131222121330029 has 2 divisors, whose sum is σ = 131222121330030. Its totient is φ = 131222121330028.

The previous prime is 131222121329951. The next prime is 131222121330059. The reversal of 131222121330029 is 920033121222131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129476292925225 + 1745828404804 = 11378765^2 + 1321298^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131222121330029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131222121329977 and 131222121330004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131222121330059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65611060665014 + 65611060665015.

It is an arithmetic number, because the mean of its divisors is an integer number (65611060665015).

Almost surely, 2131222121330029 is an apocalyptic number.

It is an amenable number.

131222121330029 is a deficient number, since it is larger than the sum of its proper divisors (1).

131222121330029 is an equidigital number, since it uses as much as digits as its factorization.

131222121330029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 131222121330029 in words is "one hundred thirty-one trillion, two hundred twenty-two billion, one hundred twenty-one million, three hundred thirty thousand, twenty-nine".