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212214220331 is a prime number
BaseRepresentation
bin1100010110100011110…
…1000000011000101011
3202021202120111100220012
43011220331000120223
511434103320022311
6241253451122135
721221603052551
oct3055075003053
9667676440805
10212214220331
1181aaa438773
123516614334b
131701c979799
14a3b2343bd1
1557c090c78b
hex3168f4062b

212214220331 has 2 divisors, whose sum is σ = 212214220332. Its totient is φ = 212214220330.

The previous prime is 212214220303. The next prime is 212214220333. The reversal of 212214220331 is 133022412212.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212214220331 is a prime.

It is a super-2 number, since 2×2122142203312 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 212214220333, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 212214220297 and 212214220306.

It is not a weakly prime, because it can be changed into another prime (212214220333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106107110165 + 106107110166.

It is an arithmetic number, because the mean of its divisors is an integer number (106107110166).

Almost surely, 2212214220331 is an apocalyptic number.

212214220331 is a deficient number, since it is larger than the sum of its proper divisors (1).

212214220331 is an equidigital number, since it uses as much as digits as its factorization.

212214220331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 212214220331 its reverse (133022412212), we get a palindrome (345236632543).

The spelling of 212214220331 in words is "two hundred twelve billion, two hundred fourteen million, two hundred twenty thousand, three hundred thirty-one".