Search a number
-
+
3133036001 is a prime number
BaseRepresentation
bin1011101010111110…
…0101010111100001
322002100100201102102
42322233211113201
522404024123001
61234515500145
7140432236514
oct27257452741
98070321372
103133036001
111368576357
127352b7655
133ac123b74
1421a156d7b
151350c1e6b
hexbabe55e1

3133036001 has 2 divisors, whose sum is σ = 3133036002. Its totient is φ = 3133036000.

The previous prime is 3133035991. The next prime is 3133036007. The reversal of 3133036001 is 1006303313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2809000000 + 324036001 = 53000^2 + 18001^2 .

It is an emirp because it is prime and its reverse (1006303313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3133036001 - 230 = 2059294177 is a prime.

It is not a weakly prime, because it can be changed into another prime (3133036007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1566518000 + 1566518001.

It is an arithmetic number, because the mean of its divisors is an integer number (1566518001).

Almost surely, 23133036001 is an apocalyptic number.

It is an amenable number.

3133036001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133036001 is an equidigital number, since it uses as much as digits as its factorization.

3133036001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

The square root of 3133036001 is about 55973.5294670615. The cubic root of 3133036001 is about 1463.2609916045.

Adding to 3133036001 its reverse (1006303313), we get a palindrome (4139339314).

The spelling of 3133036001 in words is "three billion, one hundred thirty-three million, thirty-six thousand, one".