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201020330433344 = 2683188920033183
BaseRepresentation
bin101101101101001110110001…
…011000110101101101000000
3222100202100121110100111122012
4231231032301120311231000
5202322004114042331334
61551311244231432052
760225145120022132
oct5555166130655500
9870670543314565
10201020330433344
1159062274a38774
121a667105b25628
13882219c527426
14378d6161a9052
1518390005929ce
hexb6d3b1635b40

201020330433344 has 56 divisors (see below), whose sum is σ = 403919473063680. Its totient is φ = 99246627344384.

The previous prime is 201020330433317. The next prime is 201020330433359. The reversal of 201020330433344 is 443334033020102.

201020330433344 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 (32).

It is a self number, because there is not a number n which added to its sum of digits gives 201020330433344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17777 + ... + 20050959.

It is an arithmetic number, because the mean of its divisors is an integer number (7212847733280).

Almost surely, 2201020330433344 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 201020330433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201959736531840).

201020330433344 is an abundant number, since it is smaller than the sum of its proper divisors (202899142630336).

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

201020330433344 is a wasteful number, since it uses less digits than its factorization.

201020330433344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20035167 (or 20035157 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 201020330433344 its reverse (443334033020102), we get a palindrome (644354363453446).

The spelling of 201020330433344 in words is "two hundred one trillion, twenty billion, three hundred thirty million, four hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 83 166 332 664 1328 1889 2656 3778 5312 7556 15112 30224 60448 120896 156787 313574 627148 1254296 2508592 5017184 10034368 20033183 40066366 80132732 160265464 320530928 641061856 1282123712 1662754189 3325508378 6651016756 13302033512 26604067024 37842682687 53208134048 75685365374 106416268096 151370730748 302741461496 605482922992 1210965845984 2421931691968 3140942663021 6281885326042 12563770652084 25127541304168 50255082608336 100510165216672 201020330433344