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221220111000 = 23353710534291
BaseRepresentation
bin1100111000000110111…
…1110000001010011000
3210011000012200000101110
43032001233300022120
512111024322023000
6245343242420320
721661016626560
oct3160157601230
9704005600343
10221220111000
1185900a92719
1236a5a2016a0
1317b26710085
14a9c844dda0
155b4b39e850
hex3381bf0298

221220111000 has 128 divisors (see below), whose sum is σ = 788807784960. Its totient is φ = 50564592000.

The previous prime is 221220110987. The next prime is 221220111043. The reversal of 221220111000 is 111022122.

It is a super-3 number, since 3×2212201110003 (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5246146 + ... + 5288145.

It is an arithmetic number, because the mean of its divisors is an integer number (6162560820).

Almost surely, 2221220111000 is an apocalyptic number.

221220111000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221220111000 is an abundant number, since it is smaller than the sum of its proper divisors (567587673960).

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

221220111000 is a wasteful number, since it uses less digits than its factorization.

221220111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10534322 (or 10534308 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221220111000 its reverse (111022122), we get a palindrome (221331133122).

The spelling of 221220111000 in words is "two hundred twenty-one billion, two hundred twenty million, one hundred eleven thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 10534291 21068582 31602873 42137164 52671455 63205746 73740037 84274328 105342910 126411492 147480074 158014365 210685820 221220111 252822984 263357275 294960148 316028730 368700185 421371640 442440222 526714550 589920296 632057460 737400370 790071825 884880444 1053429100 1106100555 1264114920 1316786375 1474800740 1580143650 1769760888 1843500925 2106858200 2212201110 2633572750 2949601480 3160287300 3687001850 3950359125 4424402220 5267145500 5530502775 6320574600 7374003700 7900718250 8848804440 9217504625 10534291000 11061005550 14748007400 15801436500 18435009250 22122011100 27652513875 31602873000 36870018500 44244022200 55305027750 73740037000 110610055500 221220111000