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212112031213 is a prime number
BaseRepresentation
bin1100010110001011011…
…1001011110111101101
3202021111110012121210001
43011202313023313231
511433401134444323
6241235400544301
721216222342235
oct3054267136755
9667443177701
10212112031213
1181a57791555
1235137a82091
131700474a754
14a3a2942cc5
1557b69743ad
hex3162dcbded

212112031213 has 2 divisors, whose sum is σ = 212112031214. Its totient is φ = 212112031212.

The previous prime is 212112031177. The next prime is 212112031231. The reversal of 212112031213 is 312130211212.

Together with next prime (212112031231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 184365466884 + 27746564329 = 429378^2 + 166573^2 .

It is a cyclic number.

It is not a de Polignac number, because 212112031213 - 213 = 212112023021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212112031513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106056015606 + 106056015607.

It is an arithmetic number, because the mean of its divisors is an integer number (106056015607).

Almost surely, 2212112031213 is an apocalyptic number.

It is an amenable number.

212112031213 is a deficient number, since it is larger than the sum of its proper divisors (1).

212112031213 is an equidigital number, since it uses as much as digits as its factorization.

212112031213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 212112031213 its reverse (312130211212), we get a palindrome (524242242425).

The spelling of 212112031213 in words is "two hundred twelve billion, one hundred twelve million, thirty-one thousand, two hundred thirteen".