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10312112413 is a prime number
BaseRepresentation
bin10011001101010011…
…00101100100011101
3222121200001120212101
421212221211210131
5132104400044123
64423132205101
7513354336451
oct114651454435
928550046771
1010312112413
114411a11759
121bb9609791
13c84569485
146db7aa661
154054b0aad
hex266a6591d

10312112413 has 2 divisors, whose sum is σ = 10312112414. Its totient is φ = 10312112412.

The previous prime is 10312112411. The next prime is 10312112431. The reversal of 10312112413 is 31421121301.

10312112413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (10312112431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8772570244 + 1539542169 = 93662^2 + 39237^2 .

It is a cyclic number.

It is not a de Polignac number, because 10312112413 - 21 = 10312112411 is a prime.

Together with 10312112411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10312112411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5156056206 + 5156056207.

It is an arithmetic number, because the mean of its divisors is an integer number (5156056207).

Almost surely, 210312112413 is an apocalyptic number.

It is an amenable number.

10312112413 is a deficient number, since it is larger than the sum of its proper divisors (1).

10312112413 is an equidigital number, since it uses as much as digits as its factorization.

10312112413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10312112413 its reverse (31421121301), we get a palindrome (41733233714).

The spelling of 10312112413 in words is "ten billion, three hundred twelve million, one hundred twelve thousand, four hundred thirteen".