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212011323133 is a prime number
BaseRepresentation
bin1100010101110011011…
…1000000111011111101
3202021020102201010021011
43011130313000323331
511433144344320013
6241221402235221
721213560340541
oct3053467007375
9667212633234
10212011323133
1181a05957035
123510a1b5b11
1316cb991987c
14a393409a21
1557acbcec3d
hex315cdc0efd

212011323133 has 2 divisors, whose sum is σ = 212011323134. Its totient is φ = 212011323132.

The previous prime is 212011323131. The next prime is 212011323179. The reversal of 212011323133 is 331323110212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195432958084 + 16578365049 = 442078^2 + 128757^2 .

It is a cyclic number.

It is not a de Polignac number, because 212011323133 - 21 = 212011323131 is a prime.

It is a super-2 number, since 2×2120113231332 (a number of 23 digits) contains 22 as substring.

Together with 212011323131, 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 (212011323131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106005661566 + 106005661567.

It is an arithmetic number, because the mean of its divisors is an integer number (106005661567).

Almost surely, 2212011323133 is an apocalyptic number.

It is an amenable number.

212011323133 is a deficient number, since it is larger than the sum of its proper divisors (1).

212011323133 is an equidigital number, since it uses as much as digits as its factorization.

212011323133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 212011323133 its reverse (331323110212), we get a palindrome (543334433345).

The spelling of 212011323133 in words is "two hundred twelve billion, eleven million, three hundred twenty-three thousand, one hundred thirty-three".