211302322132230 has 192 divisors, whose sum is σ = 655527914496000. Its totient is φ = 46172427383808.

The previous prime is 211302322132211. The next prime is 211302322132249. The reversal of 211302322132230 is 32231223203112.

211302322132230 is a `hidden beast` number, since 2 + 1 + 1 + 302 + 3 + 2 + 2 + 1 + 322 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (211302322132211) and next prime (211302322132249).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211302322132194 and 211302322132203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22415646 + ... + 30414894.

It is an arithmetic number, because the mean of its divisors is an integer number (3414207888000).

Almost surely, 2^{211302322132230} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211302322132230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327763957248000).

211302322132230 is an abundant number, since it is smaller than the sum of its proper divisors (444225592363770).

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

211302322132230 is a wasteful number, since it uses less digits than its factorization.

211302322132230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8001115 (or 8001112 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 211302322132230 its reverse (32231223203112), we get a palindrome (243533545335342).

The spelling of 211302322132230 in words is "two hundred eleven trillion, three hundred two billion, three hundred twenty-two million, one hundred thirty-two thousand, two hundred thirty".