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13211232022000 = 245343154999173
BaseRepresentation
bin1100000000111111101011…
…0010101010110111110000
31201202222111110211001100201
43000033322302222313300
53212423100344201000
644033053423524544
72532323434225255
oct300177262526760
951688443731321
1013211232022000
114233941073301
121594512a59754
1374aa76cbb64c
143395d9b3342c
1517d9c3c2c96a
hexc03facaadf0

13211232022000 has 160 divisors (see below), whose sum is σ = 32709092644800. Its totient is φ = 5158213401600.

The previous prime is 13211232021997. The next prime is 13211232022099. The reversal of 13211232022000 is 22023211231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133164414 + ... + 133263586.

It is an arithmetic number, because the mean of its divisors is an integer number (204431829030).

Almost surely, 213211232022000 is an apocalyptic number.

13211232022000 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 13211232022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16354546322400).

13211232022000 is an abundant number, since it is smaller than the sum of its proper divisors (19497860622800).

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

13211232022000 is a wasteful number, since it uses less digits than its factorization.

13211232022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100788 (or 100772 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 13211232022000 its reverse (22023211231), we get a palindrome (13233255233231).

The spelling of 13211232022000 in words is "thirteen trillion, two hundred eleven billion, two hundred thirty-two million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 688 860 1000 1075 1549 1720 2000 2150 3098 3440 4300 5375 6196 7745 8600 10750 12392 15490 17200 21500 24784 30980 38725 43000 61960 66607 77450 86000 99173 123920 133214 154900 193625 198346 266428 309800 333035 387250 396692 495865 532856 619600 666070 774500 793384 991730 1065712 1332140 1549000 1586768 1665175 1983460 2479325 2664280 3098000 3330350 3966920 4264439 4958650 5328560 6660700 7933840 8325875 8528878 9917300 12396625 13321400 16651750 17057756 19834600 21322195 24793250 26642800 33303500 34115512 39669200 42644390 49586500 66607000 68231024 85288780 99173000 106610975 133214000 153618977 170577560 198346000 213221950 307237954 341155120 426443900 533054875 614475908 768094885 852887800 1066109750 1228951816 1536189770 1705775600 2132219500 2457903632 3072379540 3840474425 4264439000 6144759080 6605616011 7680948850 8528878000 12289518160 13211232022 15361897700 19202372125 26422464044 30723795400 33028080055 38404744250 52844928088 61447590800 66056160110 76809488500 105689856176 132112320220 153618977000 165140400275 264224640440 307237954000 330280800550 528449280880 660561601100 825702001375 1321123202200 1651404002750 2642246404400 3302808005500 6605616011000 13211232022000