211020282 has 64 divisors (see below), whose sum is σ = 513285120. Its totient is φ = 63730800.

The previous prime is 211020259. The next prime is 211020311. The reversal of 211020282 is 282020112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 334107 + ... + 334737.

It is an arithmetic number, because the mean of its divisors is an integer number (8020080).

Almost surely, 2^211020282 is an apocalyptic number.

211020282 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211020282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256642560).

211020282 is an abundant number, since it is smaller than the sum of its proper divisors (302264838).

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

211020282 is a wasteful number, since it uses less digits than its factorization.

211020282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 211020282 is about 14526.5371647891. The cubic root of 211020282 is about 595.3532558495.

Adding to 211020282 its reverse (282020112), we get a palindrome (493040394).

The spelling of 211020282 in words is "two hundred eleven million, twenty thousand, two hundred eighty-two".