Search a number
-
+
2943131813 is a prime number
BaseRepresentation
bin1010111101101100…
…1010000010100101
321121010000120211222
42233123022002211
522011420204223
61204013310125
7132635131136
oct25733120245
97533016758
102943131813
111280359546
126a1795345
1337b992c1b
141dcc41c8d
151235ae0c8
hexaf6ca0a5

2943131813 has 2 divisors, whose sum is σ = 2943131814. Its totient is φ = 2943131812.

The previous prime is 2943131809. The next prime is 2943131897. The reversal of 2943131813 is 3181313492.

2943131813 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., 2928216769 + 14915044 = 54113^2 + 3862^2 .

It is a cyclic number.

It is not a de Polignac number, because 2943131813 - 22 = 2943131809 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2943131803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1471565906 + 1471565907.

It is an arithmetic number, because the mean of its divisors is an integer number (1471565907).

Almost surely, 22943131813 is an apocalyptic number.

It is an amenable number.

2943131813 is a deficient number, since it is larger than the sum of its proper divisors (1).

2943131813 is an equidigital number, since it uses as much as digits as its factorization.

2943131813 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15552, while the sum is 35.

The square root of 2943131813 is about 54250.6388257318. The cubic root of 2943131813 is about 1433.0782488856.

The spelling of 2943131813 in words is "two billion, nine hundred forty-three million, one hundred thirty-one thousand, eight hundred thirteen".