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33212210033 is a prime number
BaseRepresentation
bin11110111011100110…
…100001101101110001
310011201121122002011002
4132323212201231301
51021004311210113
623131340531345
72254013061452
oct367346415561
9104647562132
1033212210033
11130a3476a72
12652a850b55
133193a1a3b2
141870cd1129
15ce5b39c58
hex7bb9a1b71

33212210033 has 2 divisors, whose sum is σ = 33212210034. Its totient is φ = 33212210032.

The previous prime is 33212210027. The next prime is 33212210039. The reversal of 33212210033 is 33001221233.

It is a balanced prime because it is at equal distance from previous prime (33212210027) and next prime (33212210039).

It can be written as a sum of positive squares in only one way, i.e., 28052230144 + 5159979889 = 167488^2 + 71833^2 .

It is a cyclic number.

It is not a de Polignac number, because 33212210033 - 230 = 32138468209 is a prime.

It is a super-2 number, since 2×332122100332 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33212209987 and 33212210014.

It is not a weakly prime, because it can be changed into another prime (33212210039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16606105016 + 16606105017.

It is an arithmetic number, because the mean of its divisors is an integer number (16606105017).

Almost surely, 233212210033 is an apocalyptic number.

It is an amenable number.

33212210033 is a deficient number, since it is larger than the sum of its proper divisors (1).

33212210033 is an equidigital number, since it uses as much as digits as its factorization.

33212210033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 33212210033 its reverse (33001221233), we get a palindrome (66213431266).

The spelling of 33212210033 in words is "thirty-three billion, two hundred twelve million, two hundred ten thousand, thirty-three".