Search a number
-
+
105271233869 is a prime number
BaseRepresentation
bin110001000001010100…
…1111000110101001101
3101001201112101202201202
41202002221320311031
53211043413440434
6120205543515245
710414501503164
oct1420251706515
9331645352652
10105271233869
114071095a12a
121849b158b25
139c08906939
1451491683db
152b11dbba7e
hex1882a78d4d

105271233869 has 2 divisors, whose sum is σ = 105271233870. Its totient is φ = 105271233868.

The previous prime is 105271233853. The next prime is 105271233901. The reversal of 105271233869 is 968332172501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98740492900 + 6530740969 = 314230^2 + 80813^2 .

It is a cyclic number.

It is not a de Polignac number, because 105271233869 - 24 = 105271233853 is a prime.

It is a super-2 number, since 2×1052712338692 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105271233169) 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, 52635616934 + 52635616935.

It is an arithmetic number, because the mean of its divisors is an integer number (52635616935).

Almost surely, 2105271233869 is an apocalyptic number.

It is an amenable number.

105271233869 is a deficient number, since it is larger than the sum of its proper divisors (1).

105271233869 is an equidigital number, since it uses as much as digits as its factorization.

105271233869 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 544320, while the sum is 47.

The spelling of 105271233869 in words is "one hundred five billion, two hundred seventy-one million, two hundred thirty-three thousand, eight hundred sixty-nine".