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10284810329 is a prime number
BaseRepresentation
bin10011001010000010…
…11100000001011001
3222112202200111110002
421211001130001121
5132030402412304
64420315102345
7512603305523
oct114501340131
928482614402
1010284810329
1143a8564252
121bb04419b5
13c7b9ca4b1
146d7d00a13
15402dbb31e
hex26505c059

10284810329 has 2 divisors, whose sum is σ = 10284810330. Its totient is φ = 10284810328.

The previous prime is 10284810311. The next prime is 10284810379. The reversal of 10284810329 is 92301848201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5435080729 + 4849729600 = 73723^2 + 69640^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10284810329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10284810292 and 10284810301.

It is not a weakly prime, because it can be changed into another prime (10284810379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5142405164 + 5142405165.

It is an arithmetic number, because the mean of its divisors is an integer number (5142405165).

Almost surely, 210284810329 is an apocalyptic number.

It is an amenable number.

10284810329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10284810329 is an equidigital number, since it uses as much as digits as its factorization.

10284810329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 38.

The spelling of 10284810329 in words is "ten billion, two hundred eighty-four million, eight hundred ten thousand, three hundred twenty-nine".