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11031233200 = 24521311291879
BaseRepresentation
bin10100100011000001…
…10100001010110000
31001110210012201010121
422101200310022300
5140042443430300
65022341340024
7540235635511
oct122140641260
931423181117
1011031233200
114750930859
12217a407614
13106a541a30
147690c0a08
154486ad81a
hex2918342b0

11031233200 has 120 divisors (see below), whose sum is σ = 28581677600. Its totient is φ = 4067297280.

The previous prime is 11031233189. The next prime is 11031233203. The reversal of 11031233200 is 233213011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11031233203) 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, 5869861 + ... + 5871739.

Almost surely, 211031233200 is an apocalyptic number.

11031233200 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 11031233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14290838800).

11031233200 is an abundant number, since it is smaller than the sum of its proper divisors (17550444400).

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

11031233200 is a wasteful number, since it uses less digits than its factorization.

11031233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039 (or 3028 counting only the distinct ones).

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

Adding to 11031233200 its reverse (233213011), we get a palindrome (11264446211).

The spelling of 11031233200 in words is "eleven billion, thirty-one million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1129 1300 1879 2258 2600 3758 4516 5200 5645 7516 9032 9395 11290 14677 15032 18064 18790 22580 24427 28225 29354 30064 37580 45160 46975 48854 56450 58708 73385 75160 90320 93950 97708 112900 117416 122135 146770 150320 187900 195416 225800 234832 244270 293540 366925 375800 390832 451600 488540 587080 610675 733850 751600 977080 1174160 1221350 1467700 1954160 2121391 2442700 2935400 4242782 4885400 5870800 8485564 9770800 10606955 16971128 21213910 27578083 33942256 42427820 53034775 55156166 84855640 106069550 110312332 137890415 169711280 212139100 220624664 275780830 424278200 441249328 551561660 689452075 848556400 1103123320 1378904150 2206246640 2757808300 5515616600 11031233200