Search a number
-
+
2305077133 is a prime number
BaseRepresentation
bin1000100101100100…
…1010111110001101
312221122102001101011
42021121022332031
514210044432013
61020421445221
7111056555332
oct21131127615
95848361334
102305077133
11a83179627
12543b70811
132a9732088
1417c1d0989
15d7575c3d
hex8964af8d

2305077133 has 2 divisors, whose sum is σ = 2305077134. Its totient is φ = 2305077132.

The previous prime is 2305077121. The next prime is 2305077143. The reversal of 2305077133 is 3317705032.

2305077133 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 can be written as a sum of positive squares in only one way, i.e., 2226612969 + 78464164 = 47187^2 + 8858^2 .

It is a cyclic number.

It is not a de Polignac number, because 2305077133 - 25 = 2305077101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2305077095 and 2305077104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2305077143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1152538566 + 1152538567.

It is an arithmetic number, because the mean of its divisors is an integer number (1152538567).

Almost surely, 22305077133 is an apocalyptic number.

It is an amenable number.

2305077133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2305077133 is an equidigital number, since it uses as much as digits as its factorization.

2305077133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13230, while the sum is 31.

The square root of 2305077133 is about 48011.2188243540. The cubic root of 2305077133 is about 1320.9766901077.

The spelling of 2305077133 in words is "two billion, three hundred five million, seventy-seven thousand, one hundred thirty-three".