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10510112329 is a prime number
BaseRepresentation
bin10011100100111001…
…11001011001001001
31000010110122000200121
421302130321121021
5133011042043304
64454524103241
7521310323623
oct116234713111
930113560617
1010510112329
114503758a52
122053994b21
13cb65a32a2
14719bcbc13
15417a72554
hex272739649

10510112329 has 2 divisors, whose sum is σ = 10510112330. Its totient is φ = 10510112328.

The previous prime is 10510112251. The next prime is 10510112357. The reversal of 10510112329 is 92321101501.

10510112329 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., 10071126025 + 438986304 = 100355^2 + 20952^2 .

It is a cyclic number.

It is not a de Polignac number, because 10510112329 - 27 = 10510112201 is a prime.

It is a super-2 number, since 2×105101123292 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10510112359) 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, 5255056164 + 5255056165.

It is an arithmetic number, because the mean of its divisors is an integer number (5255056165).

Almost surely, 210510112329 is an apocalyptic number.

It is an amenable number.

10510112329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10510112329 is an equidigital number, since it uses as much as digits as its factorization.

10510112329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 25.

The spelling of 10510112329 in words is "ten billion, five hundred ten million, one hundred twelve thousand, three hundred twenty-nine".