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212212013 = 1323336997
BaseRepresentation
bin11001010011000…
…01100100101101
3112210022111011012
430221201210231
5413311241023
633020235005
75154525626
oct1451414455
9483274135
10212212013
11a9874032
125b09ba65
1334c71950
1420280a4d
151396c978
hexca6192d

212212013 has 8 divisors (see below), whose sum is σ = 228666648. Its totient is φ = 195776064.

The previous prime is 212211997. The next prime is 212212051. The reversal of 212212013 is 310212212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 131044 + 212080969 = 362^2 + 14563^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212212013 - 24 = 212211997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212212073) 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 7 ways as a sum of consecutive naturals, for example, 26831 + ... + 33827.

It is an arithmetic number, because the mean of its divisors is an integer number (28583331).

Almost surely, 2212212013 is an apocalyptic number.

It is an amenable number.

212212013 is a deficient number, since it is larger than the sum of its proper divisors (16454635).

212212013 is a wasteful number, since it uses less digits than its factorization.

212212013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9343.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 212212013 is about 14567.4985155311. The cubic root of 212212013 is about 596.4718994704.

Adding to 212212013 its reverse (310212212), we get a palindrome (522424225).

The spelling of 212212013 in words is "two hundred twelve million, two hundred twelve thousand, thirteen".

Divisors: 1 13 2333 6997 30329 90961 16324001 212212013