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11003332320 = 2532537206519
BaseRepresentation
bin10100011111101100…
…11000011011100000
31001101211201012022200
422033312120123200
5140013323113240
65015503333200
7536446532031
oct121766303340
931354635280
1011003332320
114737104482
122170bb1200
131064823336
147654daa88
15445eeb930
hex28fd986e0

11003332320 has 144 divisors (see below), whose sum is σ = 38563892640. Its totient is φ = 2854904832.

The previous prime is 11003332313. The next prime is 11003332367. The reversal of 11003332320 is 2323330011.

11003332320 is a `hidden beast` number, since 1 + 10 + 0 + 3 + 332 + 320 = 666.

11003332320 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 (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 11003332293 and 11003332302.

It is a congruent number.

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, 49980 + ... + 156539.

It is an arithmetic number, because the mean of its divisors is an integer number (267804810).

Almost surely, 211003332320 is an apocalyptic number.

11003332320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11003332320 is an abundant number, since it is smaller than the sum of its proper divisors (27560560320).

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

11003332320 is a wasteful number, since it uses less digits than its factorization.

11003332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206577 (or 206566 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 11003332320 its reverse (2323330011), we get a palindrome (13326662331).

The spelling of 11003332320 in words is "eleven billion, three million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 90 96 111 120 144 148 160 180 185 222 240 288 296 333 360 370 444 480 555 592 666 720 740 888 1110 1184 1332 1440 1480 1665 1776 2220 2664 2960 3330 3552 4440 5328 5920 6660 8880 10656 13320 17760 26640 53280 206519 413038 619557 826076 1032595 1239114 1652152 1858671 2065190 2478228 3097785 3304304 3717342 4130380 4956456 6195570 6608608 7434684 7641203 8260760 9293355 9912912 12391140 14869368 15282406 16521520 18586710 19825824 22923609 24782280 29738736 30564812 33043040 37173420 38206015 45847218 49564560 59477472 61129624 68770827 74346840 76412030 91694436 99129120 114618045 122259248 137541654 148693680 152824060 183388872 229236090 244518496 275083308 297387360 305648120 343854135 366777744 458472180 550166616 611296240 687708270 733555488 916944360 1100333232 1222592480 1375416540 1833888720 2200666464 2750833080 3667777440 5501666160 11003332320