210142083000 has 512 divisors, whose sum is σ = 713519539200. Its totient is φ = 51296256000.

The previous prime is 210142082987. The next prime is 210142083029. The reversal of 210142083000 is 380241012.

210142083000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 304112655 + ... + 304113345.

It is an arithmetic number, because the mean of its divisors is an integer number (1393592850).

Almost surely, 2^210142083000 is an apocalyptic number.

210142083000 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 210142083000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356759769600).

210142083000 is an abundant number, since it is smaller than the sum of its proper divisors (503377456200).

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

210142083000 is a wasteful number, since it uses less digits than its factorization.

210142083000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The spelling of 210142083000 in words is "two hundred ten billion, one hundred forty-two million, eighty-three thousand".