Search a number
-
+
3012233032033 is a prime number
BaseRepresentation
bin101011110101010111000…
…101000111000101100001
3101122222002200212200122121
4223311113011013011201
5343323023124011113
610223444543504241
7430424641212361
oct53652705070541
911588080780577
103012233032033
11a61532021805
1240795a8b8081
1318b08b045ab4
14a5b158549a1
155354d695e8d
hex2bd57147161

3012233032033 has 2 divisors, whose sum is σ = 3012233032034. Its totient is φ = 3012233032032.

The previous prime is 3012233032021. The next prime is 3012233032093. The reversal of 3012233032033 is 3302303322103.

3012233032033 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., 2665226032704 + 347006999329 = 1632552^2 + 589073^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3012233032033 is a prime.

It is a super-2 number, since 2×30122330320332 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3012233031989 and 3012233032007.

It is not a weakly prime, because it can be changed into another prime (3012233032013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1506116516016 + 1506116516017.

It is an arithmetic number, because the mean of its divisors is an integer number (1506116516017).

Almost surely, 23012233032033 is an apocalyptic number.

It is an amenable number.

3012233032033 is a deficient number, since it is larger than the sum of its proper divisors (1).

3012233032033 is an equidigital number, since it uses as much as digits as its factorization.

3012233032033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 3012233032033 its reverse (3302303322103), we get a palindrome (6314536354136).

The spelling of 3012233032033 in words is "three trillion, twelve billion, two hundred thirty-three million, thirty-two thousand, thirty-three".