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212121212220233 is a prime number
BaseRepresentation
bin110000001110110001010001…
…100000001111001101001001
31000211001120220222212221101222
4300032301101200033031021
5210300343220312021413
62031051050054051425
762452152245235311
oct6016612140171511
91024046828787358
10212121212220233
1161652112345278
121b95a618949b75
139148c380485b4
143a54a1593a441
15197cb5d5b6b08
hexc0ec5180f349

212121212220233 has 2 divisors, whose sum is σ = 212121212220234. Its totient is φ = 212121212220232.

The previous prime is 212121212220199. The next prime is 212121212220287. The reversal of 212121212220233 is 332022212121212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113045207881984 + 99076004338249 = 10632272^2 + 9953693^2 .

It is a cyclic number.

It is not a de Polignac number, because 212121212220233 - 210 = 212121212219209 is a prime.

It is a super-2 number, since 2×2121212122202332 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212121212225233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106060606110116 + 106060606110117.

It is an arithmetic number, because the mean of its divisors is an integer number (106060606110117).

Almost surely, 2212121212220233 is an apocalyptic number.

It is an amenable number.

212121212220233 is a deficient number, since it is larger than the sum of its proper divisors (1).

212121212220233 is an equidigital number, since it uses as much as digits as its factorization.

212121212220233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 212121212220233 its reverse (332022212121212), we get a palindrome (544143424341445).

The spelling of 212121212220233 in words is "two hundred twelve trillion, one hundred twenty-one billion, two hundred twelve million, two hundred twenty thousand, two hundred thirty-three".