Search a number
-
+
11004451134120 = 23325136122459897
BaseRepresentation
bin1010000000100010110001…
…1001101001101010101000
31102222000102010020201102200
42200020230121221222220
52420244103442242440
635223213002500200
72214021362201613
oct240105431515250
942860363221380
1011004451134120
113562a63863954
1212988a0504660
1361a93b64b722
142a08927a117a
151413b7343c30
hexa022c669aa8

11004451134120 has 96 divisors (see below), whose sum is σ = 35790745858920. Its totient is φ = 2932364021760.

The previous prime is 11004451134113. The next prime is 11004451134203. The reversal of 11004451134120 is 2143115440011.

It is a happy number.

11004451134120 is a `hidden beast` number, since 1 + 100 + 4 + 4 + 511 + 3 + 41 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8771536575684 + 2232914558436 = 2961678^2 + 1494294^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10739989 + ... + 11719908.

Almost surely, 211004451134120 is an apocalyptic number.

11004451134120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11004451134120 is an abundant number, since it is smaller than the sum of its proper divisors (24786294724800).

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

11004451134120 is a wasteful number, since it uses less digits than its factorization.

11004451134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22461275 (or 22461268 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 11004451134120 its reverse (2143115440011), we get a palindrome (13147566574131).

The spelling of 11004451134120 in words is "eleven trillion, four billion, four hundred fifty-one million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1361 2722 4083 5444 6805 8166 10888 12249 13610 16332 20415 24498 27220 32664 40830 48996 54440 61245 81660 97992 122490 163320 244980 489960 22459897 44919794 67379691 89839588 112299485 134759382 179679176 202139073 224598970 269518764 336898455 404278146 449197940 539037528 673796910 808556292 898395880 1010695365 1347593820 1617112584 2021390730 2695187640 4042781460 8085562920 30567919817 61135839634 91703759451 122271679268 152839599085 183407518902 244543358536 275111278353 305679198170 366815037804 458518797255 550222556706 611358396340 733630075608 917037594510 1100445113412 1222716792680 1375556391765 1834075189020 2200890226824 2751112783530 3668150378040 5502225567060 11004451134120