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211042312 = 231310918617
BaseRepresentation
bin11001001010001…
…00000000001000
3112201010001121221
430211010000020
5413011323222
632535211424
75141554465
oct1445040010
9481101557
10211042312
11a9145238
125a816b74
1334952410
142005866c
15137db0c7
hexc944008

211042312 has 32 divisors (see below), whose sum is σ = 430075800. Its totient is φ = 96505344.

The previous prime is 211042297. The next prime is 211042387. The reversal of 211042312 is 213240112.

It can be written as a sum of positive squares in 4 ways, for example, as 204661636 + 6380676 = 14306^2 + 2526^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2028 + ... + 20644.

Almost surely, 2211042312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211042312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215037900).

211042312 is an abundant number, since it is smaller than the sum of its proper divisors (219033488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211042312 is a wasteful number, since it uses less digits than its factorization.

211042312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18745 (or 18741 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 211042312 is about 14527.2954124297. The cubic root of 211042312 is about 595.3739729352.

Adding to 211042312 its reverse (213240112), we get a palindrome (424282424).

The spelling of 211042312 in words is "two hundred eleven million, forty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 109 218 436 872 1417 2834 5668 11336 18617 37234 74468 148936 242021 484042 968084 1936168 2029253 4058506 8117012 16234024 26380289 52760578 105521156 211042312