211132031240 has 96 divisors (see below), whose sum is σ = 522833891400. Its totient is φ = 76678318080.

The previous prime is 211132031239. The next prime is 211132031293. The reversal of 211132031240 is 42130231112.

It can be written as a sum of positive squares in 12 ways, for example, as 63457156 + 211068574084 = 7966^2 + 459422^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 156356 + ... + 668364.

Almost surely, 2^211132031240 is an apocalyptic number.

211132031240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211132031240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261416945700).

211132031240 is an abundant number, since it is smaller than the sum of its proper divisors (311701860160).

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

211132031240 is a wasteful number, since it uses less digits than its factorization.

211132031240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512107 (or 512090 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 211132031240 its reverse (42130231112), we get a palindrome (253262262352).

The spelling of 211132031240 in words is "two hundred eleven billion, one hundred thirty-two million, thirty-one thousand, two hundred forty".