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11231221020300 = 22335235711164859
BaseRepresentation
bin1010001101101111100011…
…1100000111011010001100
31110202200202002210112011000
42203123320330013122030
52433003020040122200
635515315100300300
72236300061343201
oct243337074073214
943680662715130
1011231221020300
113640152517826
121314829241690
1363613aa7c428
142ab845d03ca8
1514723aa46300
hexa36f8f0768c

11231221020300 has 144 divisors (see below), whose sum is σ = 36116437705600. Its totient is φ = 2994151003200.

The previous prime is 11231221020197. The next prime is 11231221020301. The reversal of 11231221020300 is 302012213211.

11231221020300 is a `hidden beast` number, since 1 + 12 + 312 + 21 + 0 + 20 + 300 = 666.

It is a super-2 number, since 2×112312210203002 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11231221020301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9059271 + ... + 10224129.

Almost surely, 211231221020300 is an apocalyptic number.

11231221020300 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 11231221020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18058218852800).

11231221020300 is an abundant number, since it is smaller than the sum of its proper divisors (24885216685300).

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

11231221020300 is a wasteful number, since it uses less digits than its factorization.

11231221020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168453 (or 1168440 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11231221020300 its reverse (302012213211), we get a palindrome (11533233233511).

The spelling of 11231221020300 in words is "eleven trillion, two hundred thirty-one billion, two hundred twenty-one million, twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 3571 7142 10713 14284 17855 21426 32139 35710 42852 53565 64278 71420 89275 96417 107130 128556 160695 178550 192834 214260 267825 321390 357100 385668 482085 535650 642780 803475 964170 1071300 1164859 1606950 1928340 2329718 2410425 3213900 3494577 4659436 4820850 5824295 6989154 9641700 10483731 11648590 13978308 17472885 20967462 23297180 29121475 31451193 34945770 41934924 52418655 58242950 62902386 69891540 87364425 104837310 116485900 125804772 157255965 174728850 209674620 262093275 314511930 349457700 524186550 629023860 786279825 1048373100 1572559650 3145119300 4159711489 8319422978 12479134467 16638845956 20798557445 24958268934 37437403401 41597114890 49916537868 62395672335 74874806802 83194229780 103992787225 112312210203 124791344670 149749613604 187187017005 207985574450 224624420406 249582689340 311978361675 374374034010 415971148900 449248840812 561561051015 623956723350 748748068020 935935085025 1123122102030 1247913446700 1871870170050 2246244204060 2807805255075 3743740340100 5615610510150 11231221020300