10034330220 has 144 divisors (see below), whose sum is σ = 31610386080. Its totient is φ = 2671958016.

The previous prime is 10034330203. The next prime is 10034330249. The reversal of 10034330220 is 2203343001.

10034330220 is a `hidden beast` number, since 1 + 0 + 0 + 343 + 302 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10034330193 and 10034330202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5311036 + ... + 5312924.

It is an arithmetic number, because the mean of its divisors is an integer number (219516570).

Almost surely, 2^10034330220 is an apocalyptic number.

10034330220 is a gapful number since it is divisible by the number (10) 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 10034330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15805193040).

10034330220 is an abundant number, since it is smaller than the sum of its proper divisors (21576055860).

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

10034330220 is a wasteful number, since it uses less digits than its factorization.

10034330220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10034330220 its reverse (2203343001), we get a palindrome (12237673221).

The spelling of 10034330220 in words is "ten billion, thirty-four million, three hundred thirty thousand, two hundred twenty".