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212417271 = 32112145629
BaseRepresentation
bin11001010100100…
…11101011110111
3112210200220201100
430222103223313
5413334323041
633024501143
75156342223
oct1452235367
9483626640
10212417271
11a99a4270
125b17a7b3
13350141c1
14202d5783
15139ad6b6
hexca93af7

212417271 has 12 divisors (see below), whose sum is σ = 334718280. Its totient is φ = 128737680.

The previous prime is 212417263. The next prime is 212417281. The reversal of 212417271 is 172714212.

It is a happy number.

It is not a de Polignac number, because 212417271 - 23 = 212417263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212417201) 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 in 11 ways as a sum of consecutive naturals, for example, 1072716 + ... + 1072913.

It is an arithmetic number, because the mean of its divisors is an integer number (27893190).

Almost surely, 2212417271 is an apocalyptic number.

212417271 is a deficient number, since it is larger than the sum of its proper divisors (122301009).

212417271 is a wasteful number, since it uses less digits than its factorization.

212417271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145646 (or 2145643 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 212417271 is about 14574.5418795926. The cubic root of 212417271 is about 596.6641461701.

The spelling of 212417271 in words is "two hundred twelve million, four hundred seventeen thousand, two hundred seventy-one".

Divisors: 1 3 9 11 33 99 2145629 6436887 19310661 23601919 70805757 212417271