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21112011300 = 22352375932237
BaseRepresentation
bin10011101010010111…
…111011101000100100
32000111022222021222110
4103222113323220210
5321214133330200
613410531401020
71345114064232
oct235227735044
960438867873
1021112011300
118a541a8626
124112453170
131cb5ba27a3
141043c6d952
158386c5b50
hex4ea5fba24

21112011300 has 144 divisors (see below), whose sum is σ = 63800291520. Its totient is φ = 5384701440.

The previous prime is 21112011287. The next prime is 21112011317. The reversal of 21112011300 is 311021112.

It is a super-2 number, since 2×211120113002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638782 + ... + 671018.

It is an arithmetic number, because the mean of its divisors is an integer number (443057580).

Almost surely, 221112011300 is an apocalyptic number.

21112011300 is a gapful number since it is divisible by the number (20) 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 21112011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31900145760).

21112011300 is an abundant number, since it is smaller than the sum of its proper divisors (42688280220).

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

21112011300 is a wasteful number, since it uses less digits than its factorization.

21112011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32350 (or 32343 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 21112011300 its reverse (311021112), we get a palindrome (21423032412).

The spelling of 21112011300 in words is "twenty-one billion, one hundred twelve million, eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 59 60 74 75 100 111 118 148 150 177 185 222 236 295 300 354 370 444 555 590 708 740 885 925 1110 1180 1475 1770 1850 2183 2220 2775 2950 3540 3700 4366 4425 5550 5900 6549 8732 8850 10915 11100 13098 17700 21830 26196 32237 32745 43660 54575 64474 65490 96711 109150 128948 130980 161185 163725 193422 218300 322370 327450 386844 483555 644740 654900 805925 967110 1192769 1611850 1901983 1934220 2385538 2417775 3223700 3578307 3803966 4771076 4835550 5705949 5963845 7156614 7607932 9509915 9671100 11411898 11927690 14313228 17891535 19019830 22823796 23855380 28529745 29819225 35783070 38039660 47549575 57059490 59638450 70373371 71566140 89457675 95099150 114118980 119276900 140746742 142648725 178915350 190198300 211120113 281493484 285297450 351866855 357830700 422240226 570594900 703733710 844480452 1055600565 1407467420 1759334275 2111201130 3518668550 4222402260 5278002825 7037337100 10556005650 21112011300