Search a number
-
+
33212210033213 is a prime number
BaseRepresentation
bin1111000110100110100011…
…11110110011001000111101
311100121001112000120200011222
413203103101332303020331
513323122101232030323
6154345251220123125
76665334345226631
oct743232176631075
9140531460520158
1033212210033213
11a6452457a5672
1238848b9b364a5
13156bb89ab0b33
1482b69dc16dc1
153c8dd489e9c8
hex1e34d1fb323d

33212210033213 has 2 divisors, whose sum is σ = 33212210033214. Its totient is φ = 33212210033212.

The previous prime is 33212210033207. The next prime is 33212210033269. The reversal of 33212210033213 is 31233001221233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31716292685284 + 1495917347929 = 5631722^2 + 1223077^2 .

It is a cyclic number.

It is not a de Polignac number, because 33212210033213 - 28 = 33212210032957 is a prime.

It is a super-2 number, since 2×332122100332132 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33212210033113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16606105016606 + 16606105016607.

It is an arithmetic number, because the mean of its divisors is an integer number (16606105016607).

Almost surely, 233212210033213 is an apocalyptic number.

It is an amenable number.

33212210033213 is a deficient number, since it is larger than the sum of its proper divisors (1).

33212210033213 is an equidigital number, since it uses as much as digits as its factorization.

33212210033213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 33212210033213 its reverse (31233001221233), we get a palindrome (64445211254446).

The spelling of 33212210033213 in words is "thirty-three trillion, two hundred twelve billion, two hundred ten million, thirty-three thousand, two hundred thirteen".