211080688731 has 48 divisors (see below), whose sum is σ = 344651074560. Its totient is φ = 123311885760.

The previous prime is 211080688711. The next prime is 211080688733. The reversal of 211080688731 is 137886080112.

It is a happy number.

211080688731 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 211080688731 - 2⁹ = 211080688219 is a prime.

It is a super-2 number, since 2×211080688731² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211080688733) 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 47 ways as a sum of consecutive naturals, for example, 1682136 + ... + 1803258.

It is an arithmetic number, because the mean of its divisors is an integer number (7180230720).

Almost surely, 2^211080688731 is an apocalyptic number.

211080688731 is a deficient number, since it is larger than the sum of its proper divisors (133570385829).

211080688731 is a wasteful number, since it uses less digits than its factorization.

211080688731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121776 (or 121773 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

It can be divided in two parts, 211080 and 688731, that added together give a triangular number (899811 = T₁₃₄₁).

The spelling of 211080688731 in words is "two hundred eleven billion, eighty million, six hundred eighty-eight thousand, seven hundred thirty-one".