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212210232133 is a prime number
BaseRepresentation
bin1100010110100010110…
…1110010101101000101
3202021202021222202010011
43011220231302231011
511434101304412013
6241253225430221
721221524132264
oct3055055625505
9667667882104
10212210232133
1181aa8164339
123516493b371
131701bbb13c3
14a3b19c65db
1557c03c0c3d
hex3168b72b45

212210232133 has 2 divisors, whose sum is σ = 212210232134. Its totient is φ = 212210232132.

The previous prime is 212210232131. The next prime is 212210232137. The reversal of 212210232133 is 331232012212.

212210232133 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., 144109066689 + 68101165444 = 379617^2 + 260962^2 .

It is a cyclic number.

It is not a de Polignac number, because 212210232133 - 21 = 212210232131 is a prime.

Together with 212210232131, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212210232131) 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, 106105116066 + 106105116067.

It is an arithmetic number, because the mean of its divisors is an integer number (106105116067).

Almost surely, 2212210232133 is an apocalyptic number.

It is an amenable number.

212210232133 is a deficient number, since it is larger than the sum of its proper divisors (1).

212210232133 is an equidigital number, since it uses as much as digits as its factorization.

212210232133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 212210232133 its reverse (331232012212), we get a palindrome (543442244345).

The spelling of 212210232133 in words is "two hundred twelve billion, two hundred ten million, two hundred thirty-two thousand, one hundred thirty-three".