Search a number
-
+
10111044127 is a prime number
BaseRepresentation
bin10010110101010101…
…00100101000011111
3222002122201021000211
421122222210220133
5131201411403002
64351150433251
7505363312522
oct113252445037
928078637024
1010111044127
11431946a118
121b62202827
13c519c9b62
146bcbcabb9
153e29e4dd7
hex25aaa4a1f

10111044127 has 2 divisors, whose sum is σ = 10111044128. Its totient is φ = 10111044126.

The previous prime is 10111044043. The next prime is 10111044173. The reversal of 10111044127 is 72144011101.

10111044127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (72144011101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10111044127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111044098 and 10111044107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10111044527) 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, 5055522063 + 5055522064.

It is an arithmetic number, because the mean of its divisors is an integer number (5055522064).

Almost surely, 210111044127 is an apocalyptic number.

10111044127 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111044127 is an equidigital number, since it uses as much as digits as its factorization.

10111044127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 22.

Adding to 10111044127 its reverse (72144011101), we get a palindrome (82255055228).

The spelling of 10111044127 in words is "ten billion, one hundred eleven million, forty-four thousand, one hundred twenty-seven".