1002003210 has 224 divisors, whose sum is σ = 2969200080. Its totient is φ = 241864704.

The previous prime is 1002003187. The next prime is 1002003227. The reversal of 1002003210 is 123002001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 314672121 + 687331089 = 17739^2 + 26217^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1002003192 and 1002003201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9192636 + ... + 9192744.

Almost surely, 2^1002003210 is an apocalyptic number.

1002003210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002003210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484600040).

1002003210 is an abundant number, since it is smaller than the sum of its proper divisors (1967196870).

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

1002003210 is a wasteful number, since it uses less digits than its factorization.

1002003210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 229 counting only the distinct ones).

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

The square root of 1002003210 is about 31654.4342865261. The cubic root of 1002003210 is about 1000.6672912900.

Adding to 1002003210 its reverse (123002001), we get a palindrome (1125005211).

The spelling of 1002003210 in words is "one billion, two million, three thousand, two hundred ten".