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10312134277 is a prime number
BaseRepresentation
bin10011001101010011…
…01010111010000101
3222121200002200212011
421212221222322011
5132104401244102
64423132454221
7513354460264
oct114651527205
928550080764
1010312134277
114411a27125
121bb961a371
13c84576403
146db7b45db
154054b72d7
hex266a6ae85

10312134277 has 2 divisors, whose sum is σ = 10312134278. Its totient is φ = 10312134276.

The previous prime is 10312134199. The next prime is 10312134289. The reversal of 10312134277 is 77243121301.

10312134277 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., 6645347361 + 3666786916 = 81519^2 + 60554^2 .

It is a cyclic number.

It is not a de Polignac number, because 10312134277 - 27 = 10312134149 is a prime.

It is a super-2 number, since 2×103121342772 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10312134977) 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, 5156067138 + 5156067139.

It is an arithmetic number, because the mean of its divisors is an integer number (5156067139).

Almost surely, 210312134277 is an apocalyptic number.

It is an amenable number.

10312134277 is a deficient number, since it is larger than the sum of its proper divisors (1).

10312134277 is an equidigital number, since it uses as much as digits as its factorization.

10312134277 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 31.

Adding to 10312134277 its reverse (77243121301), we get a palindrome (87555255578).

The spelling of 10312134277 in words is "ten billion, three hundred twelve million, one hundred thirty-four thousand, two hundred seventy-seven".