210431101000140 has 144 divisors (see below), whose sum is σ = 645534772646400. Its totient is φ = 55479718508544.

The previous prime is 210431101000097. The next prime is 210431101000147. The reversal of 210431101000140 is 41000101134012.

210431101000140 is a `hidden beast` number, since 210 + 4 + 311 + 0 + 1 + 0 + 0 + 0 + 140 = 666.

It is a super-2 number, since 2×210431101000140² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (210431101000147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189106024 + ... + 190215536.

It is an arithmetic number, because the mean of its divisors is an integer number (4482880365600).

Almost surely, 2^{210431101000140} is an apocalyptic number.

210431101000140 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 210431101000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322767386323200).

210431101000140 is an abundant number, since it is smaller than the sum of its proper divisors (435103671646260).

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

210431101000140 is a wasteful number, since it uses less digits than its factorization.

210431101000140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121456 (or 1121451 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 210431101000140 its reverse (41000101134012), we get a palindrome (251431202134152).

The spelling of 210431101000140 in words is "two hundred ten trillion, four hundred thirty-one billion, one hundred one million, one hundred forty", and thus it is an aban number.