Search a number
-
+
31143330133 is a prime number
BaseRepresentation
bin11101000000010010…
…011000000101010101
32222101102200002110121
4131000102120011111
51002240143031013
622150153351541
72151521636566
oct350022300525
988342602417
1031143330133
1112231663973
126051a085b1
132c242072c6
14171622616d
15c241bd58d
hex740498155

31143330133 has 2 divisors, whose sum is σ = 31143330134. Its totient is φ = 31143330132.

The previous prime is 31143330121. The next prime is 31143330167. The reversal of 31143330133 is 33103334113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18450603889 + 12692726244 = 135833^2 + 112662^2 .

It is a cyclic number.

It is not a de Polignac number, because 31143330133 - 29 = 31143329621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31143330098 and 31143330107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31143330733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15571665066 + 15571665067.

It is an arithmetic number, because the mean of its divisors is an integer number (15571665067).

Almost surely, 231143330133 is an apocalyptic number.

It is an amenable number.

31143330133 is a deficient number, since it is larger than the sum of its proper divisors (1).

31143330133 is an equidigital number, since it uses as much as digits as its factorization.

31143330133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 31143330133 its reverse (33103334113), we get a palindrome (64246664246).

The spelling of 31143330133 in words is "thirty-one billion, one hundred forty-three million, three hundred thirty thousand, one hundred thirty-three".