Search a number
-
+
12131130301057 is a prime number
BaseRepresentation
bin1011000010000111111110…
…1101100101101010000001
31120221201120022212120222101
42300201333231211222001
53042224023324113212
641444544143310401
72361305501124145
oct260417755455201
946851508776871
1012131130301057
113957868884939
12143b116bab401
1369cc647c40c1
142dd215233225
1516085a103157
hexb087fb65a81

12131130301057 has 2 divisors, whose sum is σ = 12131130301058. Its totient is φ = 12131130301056.

The previous prime is 12131130301049. The next prime is 12131130301109. The reversal of 12131130301057 is 75010303113121.

12131130301057 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 can be written as a sum of positive squares in only one way, i.e., 6991587393921 + 5139542907136 = 2644161^2 + 2267056^2 .

It is a cyclic number.

It is not a de Polignac number, because 12131130301057 - 23 = 12131130301049 is a prime.

It is not a weakly prime, because it can be changed into another prime (12131130301007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6065565150528 + 6065565150529.

It is an arithmetic number, because the mean of its divisors is an integer number (6065565150529).

Almost surely, 212131130301057 is an apocalyptic number.

It is an amenable number.

12131130301057 is a deficient number, since it is larger than the sum of its proper divisors (1).

12131130301057 is an equidigital number, since it uses as much as digits as its factorization.

12131130301057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1890, while the sum is 28.

Adding to 12131130301057 its reverse (75010303113121), we get a palindrome (87141433414178).

The spelling of 12131130301057 in words is "twelve trillion, one hundred thirty-one billion, one hundred thirty million, three hundred one thousand, fifty-seven".