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2012012310031 is a prime number
BaseRepresentation
bin11101010001110101010…
…001110110111000001111
321010100100121010102111121
4131101311101312320033
5230431100122410111
64140150010301411
7265235353312063
oct35216521667017
97110317112447
102012012310031
11706320550139
12285b36a27867
13117969119029
146d54bd93aa3
153750c880871
hex1d475476e0f

2012012310031 has 2 divisors, whose sum is σ = 2012012310032. Its totient is φ = 2012012310030.

The previous prime is 2012012310013. The next prime is 2012012310037. The reversal of 2012012310031 is 1300132102102.

Together with previous prime (2012012310013) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2012012310031 - 25 = 2012012309999 is a prime.

It is a super-2 number, since 2×20120123100312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2012012309987 and 2012012310014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2012012310037) 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, 1006006155015 + 1006006155016.

It is an arithmetic number, because the mean of its divisors is an integer number (1006006155016).

Almost surely, 22012012310031 is an apocalyptic number.

2012012310031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012012310031 is an equidigital number, since it uses as much as digits as its factorization.

2012012310031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2012012310031 its reverse (1300132102102), we get a palindrome (3312144412133).

The spelling of 2012012310031 in words is "two trillion, twelve billion, twelve million, three hundred ten thousand, thirty-one".