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220141104300 = 2232521328166959
BaseRepresentation
bin1100110100000101101…
…1101010110010101100
3210001020000022210110100
43031001123222302230
512101322110314200
6245044215511100
721622205340465
oct3150133526254
9701200283410
10220141104300
11853a7a06a47
12367b8988490
13179b3ccc980
14a925017d6c
155ad67b3d00
hex33416eacac

220141104300 has 216 divisors, whose sum is σ = 745754143680. Its totient is φ = 53994931200.

The previous prime is 220141104299. The next prime is 220141104317. The reversal of 220141104300 is 3401141022.

220141104300 is a `hidden beast` number, since 220 + 1 + 4 + 1 + 10 + 430 + 0 = 666.

220141104300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3254221 + ... + 3321179.

It is an arithmetic number, because the mean of its divisors is an integer number (3452565480).

Almost surely, 2220141104300 is an apocalyptic number.

220141104300 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 220141104300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372877071840).

220141104300 is an abundant number, since it is smaller than the sum of its proper divisors (525613039380).

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

220141104300 is a wasteful number, since it uses less digits than its factorization.

220141104300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67273 (or 67263 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 220141104300 its reverse (3401141022), we get a palindrome (223542245322).

The spelling of 220141104300 in words is "two hundred twenty billion, one hundred forty-one million, one hundred four thousand, three hundred".