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1100110212300 = 2235211691482441
BaseRepresentation
bin10000000000100011101…
…011011010110011001100
310220011120120110010120210
4100000203223122303030
5121011011203243200
62201214511442420
7142323520342131
oct20004353326314
93804516403523
101100110212300
11394610598140
12159260826410
137c980886158
143b361d96588
151d93a4c1650
hex10023adaccc

1100110212300 has 144 divisors (see below), whose sum is σ = 3477380183424. Its totient is φ = 266306880000.

The previous prime is 1100110212283. The next prime is 1100110212323. The reversal of 1100110212300 is 32120110011.

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, 2039080 + ... + 2521520.

It is an arithmetic number, because the mean of its divisors is an integer number (24148473496).

Almost surely, 21100110212300 is an apocalyptic number.

1100110212300 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 1100110212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738690091712).

1100110212300 is an abundant number, since it is smaller than the sum of its proper divisors (2377269971124).

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

1100110212300 is a wasteful number, since it uses less digits than its factorization.

1100110212300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483160 (or 483153 counting only the distinct ones).

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

Adding to 1100110212300 its reverse (32120110011), we get a palindrome (1132230322311).

The spelling of 1100110212300 in words is "one trillion, one hundred billion, one hundred ten million, two hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 691 825 1100 1382 1650 2073 2764 3300 3455 4146 6910 7601 8292 10365 13820 15202 17275 20730 22803 30404 34550 38005 41460 45606 51825 69100 76010 91212 103650 114015 152020 190025 207300 228030 380050 456060 482441 570075 760100 964882 1140150 1447323 1929764 2280300 2412205 2894646 4824410 5306851 5789292 7236615 9648820 10613702 12061025 14473230 15920553 21227404 24122050 26534255 28946460 31841106 36183075 48244100 53068510 63682212 72366150 79602765 106137020 132671275 144732300 159205530 265342550 318411060 333366731 398013825 530685100 666733462 796027650 1000100193 1333466924 1592055300 1666833655 2000200386 3333667310 3667034041 4000400772 5000500965 6667334620 7334068082 8334168275 10001001930 11001102123 14668136164 16668336550 18335170205 20002003860 22002204246 25002504825 33336673100 36670340410 44004408492 50005009650 55005510615 73340680820 91675851025 100010019300 110011021230 183351702050 220022042460 275027553075 366703404100 550055106150 1100110212300