211431010431 has 16 divisors (see below), whose sum is σ = 284015462400. Its totient is φ = 139903572480.

The previous prime is 211431010397. The next prime is 211431010463. The reversal of 211431010431 is 134010134112.

211431010431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211431010431 - 2⁷ = 211431010303 is a prime.

It is a super-2 number, since 2×211431010431² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211431010398 and 211431010407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211431010031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153625 + ... + 668178.

It is an arithmetic number, because the mean of its divisors is an integer number (17750966400).

Almost surely, 2^211431010431 is an apocalyptic number.

211431010431 is a deficient number, since it is larger than the sum of its proper divisors (72584451969).

211431010431 is a wasteful number, since it uses less digits than its factorization.

211431010431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822446.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 211431010431 its reverse (134010134112), we get a palindrome (345441144543).

The spelling of 211431010431 in words is "two hundred eleven billion, four hundred thirty-one million, ten thousand, four hundred thirty-one".