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332013201221120 = 2955371128326863
BaseRepresentation
bin100101101111101101101100…
…0111010110110011000000000
31121112120011002211220201020212
41023133123120322312120000
5322004201014003033440
63134044431540253252
7126635106431203436
oct11337333072663000
91545504084821225
10332013201221120
119687600a583161
12312a24713a1228
1311334931071173
145bdb74ba1ad56
15285b65a563465
hex12df6d8eb6600

332013201221120 has 320 divisors, whose sum is σ = 823168689260544. Its totient is φ = 128359409418240.

The previous prime is 332013201221071. The next prime is 332013201221123. The reversal of 332013201221120 is 21122102310233.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3320132012211202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332013201221123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12359484809 + ... + 12359511671.

Almost surely, 2332013201221120 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 332013201221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411584344630272).

332013201221120 is an abundant number, since it is smaller than the sum of its proper divisors (491155488039424).

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

332013201221120 is a wasteful number, since it uses less digits than its factorization.

332013201221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28293 (or 28277 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 332013201221120 its reverse (21122102310233), we get a palindrome (353135303531353).

The spelling of 332013201221120 in words is "three hundred thirty-two trillion, thirteen billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty".