Search a number
-
+
1012143213127 is a prime number
BaseRepresentation
bin11101011101010000110…
…11111100101001000111
310120202112000000120022101
432232220123330221013
5113040332130310002
62052545553412531
7133060565234524
oct16565033745107
93522460016271
101012143213127
1136027a503722
121441b086a147
13745a1cc4057
1436db90a414b
151b4dc875587
hexeba86fca47

1012143213127 has 2 divisors, whose sum is σ = 1012143213128. Its totient is φ = 1012143213126.

The previous prime is 1012143213079. The next prime is 1012143213143. The reversal of 1012143213127 is 7213123412101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1012143213127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012143213095 and 1012143213104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012143213167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506071606563 + 506071606564.

It is an arithmetic number, because the mean of its divisors is an integer number (506071606564).

Almost surely, 21012143213127 is an apocalyptic number.

1012143213127 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012143213127 is an equidigital number, since it uses as much as digits as its factorization.

1012143213127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 28.

Adding to 1012143213127 its reverse (7213123412101), we get a palindrome (8225266625228).

The spelling of 1012143213127 in words is "one trillion, twelve billion, one hundred forty-three million, two hundred thirteen thousand, one hundred twenty-seven".