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212222212112233 is a prime number
BaseRepresentation
bin110000010000001111010101…
…100100001111111101101001
31000211102020121212000001121201
4300100033111210033331221
5210304022042300042413
62031205312140204201
762462356153164661
oct6020172544177551
91024366555001551
10212222212112233
1161690a3112aaa4
121b976105539661
139155612a57cbb
143a598776bb1a1
1519805c04b09dd
hexc103d590ff69

212222212112233 has 2 divisors, whose sum is σ = 212222212112234. Its totient is φ = 212222212112232.

The previous prime is 212222212112203. The next prime is 212222212112311. The reversal of 212222212112233 is 332211212222212.

212222212112233 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., 197930092350169 + 14292119762064 = 14068763^2 + 3780492^2 .

It is a cyclic number.

It is not a de Polignac number, because 212222212112233 - 217 = 212222211981161 is a prime.

It is not a weakly prime, because it can be changed into another prime (212222212112203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106111106056116 + 106111106056117.

It is an arithmetic number, because the mean of its divisors is an integer number (106111106056117).

Almost surely, 2212222212112233 is an apocalyptic number.

It is an amenable number.

212222212112233 is a deficient number, since it is larger than the sum of its proper divisors (1).

212222212112233 is an equidigital number, since it uses as much as digits as its factorization.

212222212112233 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4608, while the sum is 28.

Adding to 212222212112233 its reverse (332211212222212), we get a palindrome (544433424334445).

The spelling of 212222212112233 in words is "two hundred twelve trillion, two hundred twenty-two billion, two hundred twelve million, one hundred twelve thousand, two hundred thirty-three".