Search a number
-
+
33032035033 is a prime number
BaseRepresentation
bin11110110000110111…
…001101101011011001
310011021001121020111221
4132300313031223121
51020122200110113
623101423052041
72246364444064
oct366067155331
9104231536457
1033032035033
11130107a4908
12649a441021
1331655b497a
141854dcd8db
15cd4de998d
hex7b0dcdad9

33032035033 has 2 divisors, whose sum is σ = 33032035034. Its totient is φ = 33032035032.

The previous prime is 33032034991. The next prime is 33032035067. The reversal of 33032035033 is 33053023033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32194048329 + 837986704 = 179427^2 + 28948^2 .

It is an emirp because it is prime and its reverse (33053023033) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33032035033 is a prime.

It is a super-2 number, since 2×330320350332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33032034989 and 33032035007.

It is not a weakly prime, because it can be changed into another prime (33032035073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16516017516 + 16516017517.

It is an arithmetic number, because the mean of its divisors is an integer number (16516017517).

Almost surely, 233032035033 is an apocalyptic number.

It is an amenable number.

33032035033 is a deficient number, since it is larger than the sum of its proper divisors (1).

33032035033 is an equidigital number, since it uses as much as digits as its factorization.

33032035033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7290, while the sum is 25.

Adding to 33032035033 its reverse (33053023033), we get a palindrome (66085058066).

The spelling of 33032035033 in words is "thirty-three billion, thirty-two million, thirty-five thousand, thirty-three".