1010002032 has 120 divisors (see below), whose sum is σ = 3053450400. Its totient is φ = 309809664.

The previous prime is 1010002031. The next prime is 1010002069. The reversal of 1010002032 is 2302000101.

It is a happy number.

It is a super-3 number, since 3×1010002032³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010002031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 821194 + ... + 822422.

It is an arithmetic number, because the mean of its divisors is an integer number (25445420).

Almost surely, 2^1010002032 is an apocalyptic number.

1010002032 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 1010002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526725200).

1010002032 is an abundant number, since it is smaller than the sum of its proper divisors (2043448368).

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

1010002032 is a wasteful number, since it uses less digits than its factorization.

1010002032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1686 counting only the distinct ones).

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

The square root of 1010002032 is about 31780.5291334175. The cubic root of 1010002032 is about 1003.3229563967.

Adding to 1010002032 its reverse (2302000101), we get a palindrome (3312002133).

The spelling of 1010002032 in words is "one billion, ten million, two thousand, thirty-two".