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10062188329 is a prime number
BaseRepresentation
bin10010101111100000…
…01100111100101001
3221222020210010110211
421113300030330221
5131101410011304
64342243341121
7504231122014
oct112760147451
927866703424
1010062188329
1142a3930026
121b499817a1
13c448524bb
146b651037b
153dd594204
hex257c0cf29

10062188329 has 2 divisors, whose sum is σ = 10062188330. Its totient is φ = 10062188328.

The previous prime is 10062188303. The next prime is 10062188401. The reversal of 10062188329 is 92388126001.

10062188329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9330594025 + 731594304 = 96595^2 + 27048^2 .

It is a cyclic number.

It is not a de Polignac number, because 10062188329 - 227 = 9927970601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10062188291 and 10062188300.

It is not a weakly prime, because it can be changed into another prime (10062188629) 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, 5031094164 + 5031094165.

It is an arithmetic number, because the mean of its divisors is an integer number (5031094165).

Almost surely, 210062188329 is an apocalyptic number.

It is an amenable number.

10062188329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10062188329 is an equidigital number, since it uses as much as digits as its factorization.

10062188329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 10062188329 in words is "ten billion, sixty-two million, one hundred eighty-eight thousand, three hundred twenty-nine".