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212412033 = 3223601337
BaseRepresentation
bin11001010100100…
…10011010000001
3112210200122112100
430222102122001
5413334141113
633024421013
75156321031
oct1452223201
9483618470
10212412033
11a99a0339
125b177769
13350119c2
14202d38c1
15139abd73
hexca92681

212412033 has 6 divisors (see below), whose sum is σ = 306817394. Its totient is φ = 141608016.

The previous prime is 212412019. The next prime is 212412073. The reversal of 212412033 is 330214212.

It can be written as a sum of positive squares in only one way, i.e., 165173904 + 47238129 = 12852^2 + 6873^2 .

It is not a de Polignac number, because 212412033 - 28 = 212411777 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212411997 and 212412015.

It is not an unprimeable number, because it can be changed into a prime (212412073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11800660 + ... + 11800677.

Almost surely, 2212412033 is an apocalyptic number.

It is an amenable number.

212412033 is a deficient number, since it is larger than the sum of its proper divisors (94405361).

212412033 is a wasteful number, since it uses less digits than its factorization.

212412033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23601343 (or 23601340 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 212412033 is about 14574.3621815845. The cubic root of 212412033 is about 596.6592417471.

Adding to 212412033 its reverse (330214212), we get a palindrome (542626245).

The spelling of 212412033 in words is "two hundred twelve million, four hundred twelve thousand, thirty-three".

Divisors: 1 3 9 23601337 70804011 212412033