Search a number
-
+
1131178753 is a prime number
BaseRepresentation
bin100001101101100…
…0110101100000001
32220211111211112101
41003123012230001
54304040210003
6304125030401
740013601145
oct10333065401
92824454471
101131178753
11530580381
122769b5401
13150479353
14aa337225
156949411d
hex436c6b01

1131178753 has 2 divisors, whose sum is σ = 1131178754. Its totient is φ = 1131178752.

The previous prime is 1131178681. The next prime is 1131178757. The reversal of 1131178753 is 3578711311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1131178689 + 64 = 33633^2 + 8^2 .

It is a cyclic number.

It is not a de Polignac number, because 1131178753 - 29 = 1131178241 is a prime.

It is not a weakly prime, because it can be changed into another prime (1131178757) 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, 565589376 + 565589377.

It is an arithmetic number, because the mean of its divisors is an integer number (565589377).

Almost surely, 21131178753 is an apocalyptic number.

It is an amenable number.

1131178753 is a deficient number, since it is larger than the sum of its proper divisors (1).

1131178753 is an equidigital number, since it uses as much as digits as its factorization.

1131178753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17640, while the sum is 37.

The square root of 1131178753 is about 33633.0009514465. Note that the first 3 decimals coincide. The cubic root of 1131178753 is about 1041.9424843272.

The spelling of 1131178753 in words is "one billion, one hundred thirty-one million, one hundred seventy-eight thousand, seven hundred fifty-three".