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3130431214129 is a prime number
BaseRepresentation
bin101101100011011100001…
…111011001001000110001
3102002021012010121110122121
4231203130033121020301
5402242110342323004
610354033353034241
7442111001166352
oct55433417311061
912067163543577
103130431214129
11aa76768a041a
124268470b5981
13199276b5480b
14ab72976dd29
155666a384854
hex2d8dc3d9231

3130431214129 has 2 divisors, whose sum is σ = 3130431214130. Its totient is φ = 3130431214128.

The previous prime is 3130431214111. The next prime is 3130431214133. The reversal of 3130431214129 is 9214121340313.

3130431214129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2380379951104 + 750051263025 = 1542848^2 + 866055^2 .

It is a cyclic number.

It is not a de Polignac number, because 3130431214129 - 229 = 3129894343217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3130431214094 and 3130431214103.

It is not a weakly prime, because it can be changed into another prime (3130431214159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565215607064 + 1565215607065.

It is an arithmetic number, because the mean of its divisors is an integer number (1565215607065).

Almost surely, 23130431214129 is an apocalyptic number.

It is an amenable number.

3130431214129 is a deficient number, since it is larger than the sum of its proper divisors (1).

3130431214129 is an equidigital number, since it uses as much as digits as its factorization.

3130431214129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 3130431214129 in words is "three trillion, one hundred thirty billion, four hundred thirty-one million, two hundred fourteen thousand, one hundred twenty-nine".