1000210032 has 100 divisors (see below), whose sum is σ = 2901923640. Its totient is φ = 332595072.

The previous prime is 1000209983. The next prime is 1000210037. The reversal of 1000210032 is 2300120001.

It is a happy number.

It is a super-2 number, since 2×1000210032² = 2000840216226882048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000209996 and 1000210023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000210037) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 793819 + ... + 795077.

Almost surely, 2^1000210032 is an apocalyptic number.

1000210032 is a gapful number since it is divisible by the number (12) 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 1000210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450961820).

1000210032 is an abundant number, since it is smaller than the sum of its proper divisors (1901713608).

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

1000210032 is a wasteful number, since it uses less digits than its factorization.

1000210032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1000210032 is about 31626.0973248360. The cubic root of 1000210032 is about 1000.0700057657.

Adding to 1000210032 its reverse (2300120001), we get a palindrome (3300330033).

The spelling of 1000210032 in words is "one billion, two hundred ten thousand, thirty-two".