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11100420300 = 22352172837691
BaseRepresentation
bin10100101011010001…
…01111100011001100
31001122121101202222210
422111220233203030
5140213201422200
65033252310420
7542036005254
oct122550574314
931577352883
1011100420300
114786997082
122199612410
13107b987548
14774370964
1544e7c8650
hex295a2f8cc

11100420300 has 144 divisors (see below), whose sum is σ = 34131065472. Its totient is φ = 2775782400.

The previous prime is 11100420281. The next prime is 11100420341. The reversal of 11100420300 is 302400111.

It is a happy number.

11100420300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1439455 + ... + 1447145.

It is an arithmetic number, because the mean of its divisors is an integer number (237021288).

Almost surely, 211100420300 is an apocalyptic number.

11100420300 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 11100420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17065532736).

11100420300 is an abundant number, since it is smaller than the sum of its proper divisors (23030645172).

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

11100420300 is a wasteful number, since it uses less digits than its factorization.

11100420300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008 (or 8001 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11100420300 its reverse (302400111), we get a palindrome (11402820411).

The spelling of 11100420300 in words is "eleven billion, one hundred million, four hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 283 300 340 425 510 566 849 850 1020 1132 1275 1415 1698 1700 2550 2830 3396 4245 4811 5100 5660 7075 7691 8490 9622 14150 14433 15382 16980 19244 21225 23073 24055 28300 28866 30764 38455 42450 46146 48110 57732 72165 76910 84900 92292 96220 115365 120275 130747 144330 153820 192275 230730 240550 261494 288660 360825 384550 392241 461460 481100 522988 576825 653735 721650 769100 784482 1153650 1307470 1443300 1568964 1961205 2176553 2307300 2614940 3268675 3922410 4353106 6529659 6537350 7844820 8706212 9806025 10882765 13059318 13074700 19612050 21765530 26118636 32648295 37001401 39224100 43531060 54413825 65296590 74002802 108827650 111004203 130593180 148005604 163241475 185007005 217655300 222008406 326482950 370014010 444016812 555021015 652965900 740028020 925035025 1110042030 1850070050 2220084060 2775105075 3700140100 5550210150 11100420300