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1081121184 = 2532111326251
BaseRepresentation
bin100000001110000…
…1001100110100000
32210100022122110100
41000130021212200
54203231334214
6255140102400
735535243543
oct10034114640
92710278410
101081121184
115052a0390
12262094a00
13142ca09a0
14a382685a
1564da7309
hex407099a0

1081121184 has 144 divisors (see below), whose sum is σ = 3612065184. Its totient is φ = 302400000.

The previous prime is 1081121183. The next prime is 1081121191. The reversal of 1081121184 is 4811211801.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1081121183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28059 + ... + 54309.

It is an arithmetic number, because the mean of its divisors is an integer number (25083786).

Almost surely, 21081121184 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 1081121184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806032592).

1081121184 is an abundant number, since it is smaller than the sum of its proper divisors (2530944000).

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

1081121184 is a wasteful number, since it uses less digits than its factorization.

1081121184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26291 (or 26280 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The square root of 1081121184 is about 32880.4072967474. The cubic root of 1081121184 is about 1026.3404818243.

Adding to 1081121184 its reverse (4811211801), we get a palindrome (5892332985).

It can be divided in two parts, 1081 and 121184, that added together give a triangular number (122265 = T494).

The spelling of 1081121184 in words is "one billion, eighty-one million, one hundred twenty-one thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3168 3432 3744 4576 5148 6864 10296 13728 20592 26251 41184 52502 78753 105004 157506 210008 236259 288761 315012 341263 420016 472518 577522 630024 682526 840032 866283 945036 1023789 1155044 1260048 1365052 1732566 1890072 2047578 2310088 2520096 2598849 2730104 3071367 3465132 3753893 3780144 4095156 4620176 5197698 5460208 6142734 6930264 7507786 7560288 8190312 9240352 10395396 10920416 11261679 12285468 13860528 15015572 16380624 20790792 22523358 24570936 27721056 30031144 32761248 33785037 41581584 45046716 49141872 60062288 67570074 83163168 90093432 98283744 120124576 135140148 180186864 270280296 360373728 540560592 1081121184