211300128 has 72 divisors (see below), whose sum is σ = 647118108. Its totient is φ = 65014272.

The previous prime is 211300127. The next prime is 211300129. The reversal of 211300128 is 821003112.

It is an interprime number because it is at equal distance from previous prime (211300127) and next prime (211300129).

It can be written as a sum of positive squares in 2 ways, for example, as 211179024 + 121104 = 14532^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 211300128.

It is not an unprimeable number, because it can be changed into a prime (211300127) 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 11 ways as a sum of consecutive naturals, for example, 24475 + ... + 31962.

Almost surely, 2^211300128 is an apocalyptic number.

It is an amenable number.

211300128 is an abundant number, since it is smaller than the sum of its proper divisors (435817980).

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

211300128 is a wasteful number, since it uses less digits than its factorization.

211300128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56466 (or 56455 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 211300128 is about 14536.1662070850. The cubic root of 211300128 is about 595.6163168702.

The spelling of 211300128 in words is "two hundred eleven million, three hundred thousand, one hundred twenty-eight".