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10507102271 is a prime number
BaseRepresentation
bin10011100100100010…
…11010100000111111
31000010020222002122222
421302101122200333
5133004304233041
64454335355555
7521242616141
oct116221324077
930106862588
1010507102271
114501a924a6
122052982bbb
13cb5a8b1a3
14719646c91
1541767a74b
hex27245a83f

10507102271 has 2 divisors, whose sum is σ = 10507102272. Its totient is φ = 10507102270.

The previous prime is 10507102253. The next prime is 10507102327. The reversal of 10507102271 is 17220170501.

10507102271 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 a cyclic number.

It is not a de Polignac number, because 10507102271 - 226 = 10439993407 is a prime.

It is a super-2 number, since 2×105071022712 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10507102271.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10507102231) 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, 5253551135 + 5253551136.

It is an arithmetic number, because the mean of its divisors is an integer number (5253551136).

Almost surely, 210507102271 is an apocalyptic number.

10507102271 is a deficient number, since it is larger than the sum of its proper divisors (1).

10507102271 is an equidigital number, since it uses as much as digits as its factorization.

10507102271 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 980, while the sum is 26.

Adding to 10507102271 its reverse (17220170501), we get a palindrome (27727272772).

The spelling of 10507102271 in words is "ten billion, five hundred seven million, one hundred two thousand, two hundred seventy-one".