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11032013320 = 23517191675113
BaseRepresentation
bin10100100011000111…
…10010101000001000
31001110211200100020221
422101203302220020
5140043143411240
65022410155424
7540245365066
oct122143625010
931424610227
1011032013320
114751313989
12217a722b74
13106a755b43
14769245036
154487b4a4a
hex2918f2a08

11032013320 has 128 divisors (see below), whose sum is σ = 27836524800. Its totient is φ = 3910311936.

The previous prime is 11032013287. The next prime is 11032013323. The reversal of 11032013320 is 2331023011.

It is a junction number, because it is equal to n+sod(n) for n = 11032013294 and 11032013303.

It is not an unprimeable number, because it can be changed into a prime (11032013323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2155084 + ... + 2160196.

It is an arithmetic number, because the mean of its divisors is an integer number (217472850).

Almost surely, 211032013320 is an apocalyptic number.

11032013320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11032013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13918262400).

11032013320 is an abundant number, since it is smaller than the sum of its proper divisors (16804511480).

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

11032013320 is a wasteful number, since it uses less digits than its factorization.

11032013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5327 (or 5323 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 11032013320 its reverse (2331023011), we get a palindrome (13363036331).

The spelling of 11032013320 in words is "eleven billion, thirty-two million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 167 170 190 323 334 340 380 646 668 680 760 835 1292 1336 1615 1670 2584 2839 3173 3230 3340 5113 5678 6346 6460 6680 10226 11356 12692 12920 14195 15865 20452 22712 25384 25565 28390 31730 40904 51130 53941 56780 63460 86921 97147 102260 107882 113560 126920 173842 194294 204520 215764 269705 347684 388588 431528 434605 485735 539410 695368 777176 853871 869210 971470 1078820 1651499 1707742 1738420 1942940 2157640 3302998 3415484 3476840 3885880 4269355 6605996 6830968 8257495 8538710 13211992 14515807 16223549 16514990 17077420 29031614 32447098 33029980 34154840 58063228 64894196 66059960 72579035 81117745 116126456 129788392 145158070 162235490 275800333 290316140 324470980 551600666 580632280 648941960 1103201332 1379001665 2206402664 2758003330 5516006660 11032013320