Search a number
-
+
3133022033 is a prime number
BaseRepresentation
bin1011101010111110…
…0001111101010001
322002100100000021002
42322233201331101
522404023201113
61234515311345
7140432151011
oct27257417521
98070300232
103133022033
111368566909
127352ab555
133ac11a6bb
1421a151c41
151350bcc58
hexbabe1f51

3133022033 has 2 divisors, whose sum is σ = 3133022034. Its totient is φ = 3133022032.

The previous prime is 3133022029. The next prime is 3133022059. The reversal of 3133022033 is 3302203313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3085024849 + 47997184 = 55543^2 + 6928^2 .

It is an emirp because it is prime and its reverse (3302203313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3133022033 - 22 = 3133022029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3133021996 and 3133022014.

It is not a weakly prime, because it can be changed into another prime (3133022023) 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, 1566511016 + 1566511017.

It is an arithmetic number, because the mean of its divisors is an integer number (1566511017).

Almost surely, 23133022033 is an apocalyptic number.

It is an amenable number.

3133022033 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133022033 is an equidigital number, since it uses as much as digits as its factorization.

3133022033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 3133022033 is about 55973.4046936579. The cubic root of 3133022033 is about 1463.2588170513.

Adding to 3133022033 its reverse (3302203313), we get a palindrome (6435225346).

The spelling of 3133022033 in words is "three billion, one hundred thirty-three million, twenty-two thousand, thirty-three".