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332212331230020 = 22325174321411179259
BaseRepresentation
bin100101110001001010011010…
…1111111100011001101000100
31121120021012002120011021022200
41023202110311333203031010
5322020431323243330040
63134320123231354500
7126655356156305313
oct11342246577431504
91546235076137280
10332212331230020
119694250524914a
1231314b85682a30
131134a6470729b7
145c0723c35427a
152861912437630
hex12e2535fe3344

332212331230020 has 288 divisors, whose sum is σ = 1092312386605440. Its totient is φ = 81401632542720.

The previous prime is 332212331230019. The next prime is 332212331230093. The reversal of 332212331230020 is 20032133212233.

332212331230020 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 1 + 2 + 331 + 2 + 300 + 20 = 666.

It is a super-2 number, since 2×3322123312300202 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 281123151 + ... + 282302409.

It is an arithmetic number, because the mean of its divisors is an integer number (3792751342380).

Almost surely, 2332212331230020 is an apocalyptic number.

332212331230020 is a gapful number since it is divisible by the number (30) 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 332212331230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546156193302720).

332212331230020 is an abundant number, since it is smaller than the sum of its proper divisors (760100055375420).

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

332212331230020 is a wasteful number, since it uses less digits than its factorization.

332212331230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181475 (or 1181470 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 332212331230020 its reverse (20032133212233), we get a palindrome (352244464442253).

The spelling of 332212331230020 in words is "three hundred thirty-two trillion, two hundred twelve billion, three hundred thirty-one million, two hundred thirty thousand, twenty".