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211313540 = 22510565677
BaseRepresentation
bin11001001100001…
…10001110000100
3112201121211200102
430212012032010
5413044013130
632545103232
75144064314
oct1446061604
9481554612
10211313540
11a930aa99
125a927b18
1334a189c9
14200c9444
1513841645
hexc986384

211313540 has 12 divisors (see below), whose sum is σ = 443758476. Its totient is φ = 84525408.

The previous prime is 211313539. The next prime is 211313603. The reversal of 211313540 is 45313112.

It can be written as a sum of positive squares in 2 ways, for example, as 127554436 + 83759104 = 11294^2 + 9152^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 10565677 = 211313540 / (2 + 1 + 1 + 3 + 1 + 3 + 5 + 4 + 0).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5282819 + ... + 5282858.

It is an arithmetic number, because the mean of its divisors is an integer number (36979873).

Almost surely, 2211313540 is an apocalyptic number.

211313540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211313540 is an abundant number, since it is smaller than the sum of its proper divisors (232444936).

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

211313540 is a wasteful number, since it uses less digits than its factorization.

211313540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10565686 (or 10565684 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 211313540 is about 14536.6275318590. The cubic root of 211313540 is about 595.6289185932.

Adding to 211313540 its reverse (45313112), we get a palindrome (256626652).

The spelling of 211313540 in words is "two hundred eleven million, three hundred thirteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 10565677 21131354 42262708 52828385 105656770 211313540