201233102032 has 80 divisors (see below), whose sum is σ = 423444661200. Its totient is φ = 92290129920.

The previous prime is 201233102027. The next prime is 201233102041. The reversal of 201233102032 is 230201332102.

It can be written as a sum of positive squares in 8 ways, for example, as 7566216256 + 193666885776 = 86984^2 + 440076^2 .

It is a super-2 number, since 2×201233102032² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1752894 + ... + 1864162.

It is an arithmetic number, because the mean of its divisors is an integer number (5293058265).

Almost surely, 2^201233102032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201233102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211722330600).

201233102032 is an abundant number, since it is smaller than the sum of its proper divisors (222211559168).

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

201233102032 is a wasteful number, since it uses less digits than its factorization.

201233102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111464 (or 111458 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 201233102032 its reverse (230201332102), we get a palindrome (431434434134).

The spelling of 201233102032 in words is "two hundred one billion, two hundred thirty-three million, one hundred two thousand, thirty-two".