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212000022133 is a prime number
BaseRepresentation
bin1100010101110000101…
…1111001111001110101
3202021012122102222012121
43011130023321321311
511433134001202013
6241220320115541
721213362312164
oct3053413717165
9667178388177
10212000022133
11819aa538469
1235106465bb1
1316cb7490aa3
14a391b073db
1557abbeb58d
hex315c2f9e75

212000022133 has 2 divisors, whose sum is σ = 212000022134. Its totient is φ = 212000022132.

The previous prime is 212000022131. The next prime is 212000022149. The reversal of 212000022133 is 331220000212.

It is an a-pointer prime, because the next prime (212000022149) can be obtained adding 212000022133 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210826068964 + 1173953169 = 459158^2 + 34263^2 .

It is a cyclic number.

It is not a de Polignac number, because 212000022133 - 21 = 212000022131 is a prime.

Together with 212000022131, 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 (212000022131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106000011066 + 106000011067.

It is an arithmetic number, because the mean of its divisors is an integer number (106000011067).

Almost surely, 2212000022133 is an apocalyptic number.

It is an amenable number.

212000022133 is a deficient number, since it is larger than the sum of its proper divisors (1).

212000022133 is an equidigital number, since it uses as much as digits as its factorization.

212000022133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 212000022133 its reverse (331220000212), we get a palindrome (543220022345).

The spelling of 212000022133 in words is "two hundred twelve billion, twenty-two thousand, one hundred thirty-three".