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10052262667 is a prime number
BaseRepresentation
bin10010101110010100…
…10101101100001011
3221221120002212000201
421113022111230023
5131041334401132
64341250513031
7504050552146
oct112712255413
927846085021
1010052262667
1142992707a7
121b46595777
13c42788725
146b508905d
153dc7832e7
hex257295b0b

10052262667 has 2 divisors, whose sum is σ = 10052262668. Its totient is φ = 10052262666.

The previous prime is 10052262659. The next prime is 10052262713. The reversal of 10052262667 is 76626225001.

10052262667 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 is an emirp because it is prime and its reverse (76626225001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10052262667 - 23 = 10052262659 is a prime.

It is not a weakly prime, because it can be changed into another prime (10052262167) 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, 5026131333 + 5026131334.

It is an arithmetic number, because the mean of its divisors is an integer number (5026131334).

Almost surely, 210052262667 is an apocalyptic number.

10052262667 is a deficient number, since it is larger than the sum of its proper divisors (1).

10052262667 is an equidigital number, since it uses as much as digits as its factorization.

10052262667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 37.

Adding to 10052262667 its reverse (76626225001), we get a palindrome (86678487668).

The spelling of 10052262667 in words is "ten billion, fifty-two million, two hundred sixty-two thousand, six hundred sixty-seven".