211350100 has 36 divisors (see below), whose sum is σ = 493911964. Its totient is φ = 78036480.

The previous prime is 211350077. The next prime is 211350101. The reversal of 211350100 is 1053112.

It can be written as a sum of positive squares in 6 ways, for example, as 66292164 + 145057936 = 8142^2 + 12044^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211350101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79989 + ... + 82588.

Almost surely, 2^211350100 is an apocalyptic number.

211350100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211350100 is an abundant number, since it is smaller than the sum of its proper divisors (282561864).

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

211350100 is a wasteful number, since it uses less digits than its factorization.

211350100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162604 (or 162597 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 211350100 is about 14537.8849906030. The cubic root of 211350100 is about 595.6632671376.

The spelling of 211350100 in words is "two hundred eleven million, three hundred fifty thousand, one hundred".