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212123312173 is a prime number
BaseRepresentation
bin1100010110001110001…
…0001110000000101101
3202021112020102202100101
43011203202032000231
511433412031442143
6241240442431101
721216420255313
oct3054342160055
9667466382311
10212123312173
1181a63097063
123513b802491
1317006b9a386
14a3a423c0b3
1557b7951b4d
hex316388e02d

212123312173 has 2 divisors, whose sum is σ = 212123312174. Its totient is φ = 212123312172.

The previous prime is 212123312171. The next prime is 212123312201. The reversal of 212123312173 is 371213321212.

It is an a-pointer prime, because the next prime (212123312201) can be obtained adding 212123312173 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134493093289 + 77630218884 = 366733^2 + 278622^2 .

It is a cyclic number.

It is not a de Polignac number, because 212123312173 - 21 = 212123312171 is a prime.

Together with 212123312171, 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 (212123312171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106061656086 + 106061656087.

It is an arithmetic number, because the mean of its divisors is an integer number (106061656087).

Almost surely, 2212123312173 is an apocalyptic number.

It is an amenable number.

212123312173 is a deficient number, since it is larger than the sum of its proper divisors (1).

212123312173 is an equidigital number, since it uses as much as digits as its factorization.

212123312173 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3024, while the sum is 28.

Adding to 212123312173 its reverse (371213321212), we get a palindrome (583336633385).

The spelling of 212123312173 in words is "two hundred twelve billion, one hundred twenty-three million, three hundred twelve thousand, one hundred seventy-three".