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201113440032 = 25329167432569
BaseRepresentation
bin1011101101001101001…
…0111000111100100000
3201020002221102022002010
42323103102320330200
511243340020040112
6232220142552520
720346531014601
oct2732322707440
9636087368063
10201113440032
117832332617a
1232b88598740
1315c70bc742b
149a3bd1bda8
1553710b263c
hex2ed34b8f20

201113440032 has 96 divisors (see below), whose sum is σ = 549398505600. Its totient is φ = 64338434048.

The previous prime is 201113439893. The next prime is 201113440037. The reversal of 201113440032 is 230044311102.

201113440032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2011134400322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201113439990 and 201113440008.

It is not an unprimeable number, because it can be changed into a prime (201113440037) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 248644 + ... + 681212.

It is an arithmetic number, because the mean of its divisors is an integer number (5722901100).

Almost surely, 2201113440032 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 201113440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274699252800).

201113440032 is an abundant number, since it is smaller than the sum of its proper divisors (348285065568).

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

201113440032 is a wasteful number, since it uses less digits than its factorization.

201113440032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432778 (or 432770 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 201113440032 its reverse (230044311102), we get a palindrome (431157751134).

The spelling of 201113440032 in words is "two hundred one billion, one hundred thirteen million, four hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 167 174 232 334 348 464 501 668 696 928 1002 1336 1392 2004 2672 2784 4008 4843 5344 8016 9686 14529 16032 19372 29058 38744 58116 77488 116232 154976 232464 432569 464928 865138 1297707 1730276 2595414 3460552 5190828 6921104 10381656 12544501 13842208 20763312 25089002 37633503 41526624 50178004 72239023 75267006 100356008 144478046 150534012 200712016 216717069 288956092 301068024 401424032 433434138 577912184 602136048 866868276 1155824368 1204272096 1733736552 2094931667 2311648736 3467473104 4189863334 6284795001 6934946208 8379726668 12569590002 16759453336 25139180004 33518906672 50278360008 67037813344 100556720016 201113440032