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212412321 = 3311715193
BaseRepresentation
bin11001010100100…
…10011110100001
3112210200122221000
430222102132201
5413334143241
633024422213
75156321622
oct1452223641
9483618830
10212412321
11a99a0580
125b177969
1335011b84
14202d3a49
15139abeb6
hexca927a1

212412321 has 16 divisors (see below), whose sum is σ = 343293120. Its totient is φ = 128734560.

The previous prime is 212412313. The next prime is 212412323. The reversal of 212412321 is 123214212.

It is a happy number.

It is not a de Polignac number, because 212412321 - 23 = 212412313 is a prime.

It is a super-2 number, since 2×2124123212 = 90237988225214082, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212412294 and 212412303.

It is not an unprimeable number, because it can be changed into a prime (212412323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357300 + ... + 357893.

It is an arithmetic number, because the mean of its divisors is an integer number (21455820).

Almost surely, 2212412321 is an apocalyptic number.

It is an amenable number.

212412321 is a deficient number, since it is larger than the sum of its proper divisors (130880799).

212412321 is a wasteful number, since it uses less digits than its factorization.

212412321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715213 (or 715207 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 212412321 is about 14574.3720619449. The cubic root of 212412321 is about 596.6595114081.

Adding to 212412321 its reverse (123214212), we get a palindrome (335626533).

The spelling of 212412321 in words is "two hundred twelve million, four hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 9 11 27 33 99 297 715193 2145579 6436737 7867123 19310211 23601369 70804107 212412321