233034202000100 has 144 divisors (see below), whose sum is σ = 538255935571536. Its totient is φ = 87268288512000.

The previous prime is 233034201999983. The next prime is 233034202000109. The reversal of 233034202000100 is 1000202430332.

It can be written as a sum of positive squares in 24 ways, for example, as 153526770110464 + 79507431889636 = 12390592^2 + 8916694^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (233034202000109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 404129990 + ... + 404706210.

It is an arithmetic number, because the mean of its divisors is an integer number (3737888441469).

Almost surely, 2^{233034202000100} is an apocalyptic number.

233034202000100 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 233034202000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269127967785768).

233034202000100 is an abundant number, since it is smaller than the sum of its proper divisors (305221733571436).

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

233034202000100 is a wasteful number, since it uses less digits than its factorization.

233034202000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577506 (or 577499 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 233034202000100 its reverse (1000202430332), we get a palindrome (234034404430432).

The spelling of 233034202000100 in words is "two hundred thirty-three trillion, thirty-four billion, two hundred two million, one hundred", and thus it is an aban number.