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10856317781100 = 223521117193517251
BaseRepresentation
bin1001110111111010111011…
…1101110000010001101100
31102102212001110012200211110
42131332232331300101230
52410332214322443400
635031153514552020
72200225450365051
oct235765675602154
942385043180743
1010856317781100
113506158400260
12127403aa38610
13609991a2590c
1429763ccb5028
1513c5e7584e50
hex9dfaef7046c

10856317781100 has 144 divisors (see below), whose sum is σ = 36282162542976. Its totient is φ = 2477020800000.

The previous prime is 10856317781093. The next prime is 10856317781107. The reversal of 10856317781100 is 118771365801.

It is an interprime number because it is at equal distance from previous prime (10856317781093) and next prime (10856317781107).

It is a self number, because there is not a number n which added to its sum of digits gives 10856317781100.

It is not an unprimeable number, because it can be changed into a prime (10856317781107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96702526 + ... + 96814725.

It is an arithmetic number, because the mean of its divisors is an integer number (251959462104).

Almost surely, 210856317781100 is an apocalyptic number.

10856317781100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10856317781100 is an abundant number, since it is smaller than the sum of its proper divisors (25425844761876).

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

10856317781100 is a wasteful number, since it uses less digits than its factorization.

10856317781100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193517296 (or 193517289 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 48.

The spelling of 10856317781100 in words is "ten trillion, eight hundred fifty-six billion, three hundred seventeen million, seven hundred eighty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1020 1100 1122 1275 1650 1700 1870 2244 2550 2805 3300 3740 4675 5100 5610 9350 11220 14025 18700 28050 56100 193517251 387034502 580551753 774069004 967586255 1161103506 1935172510 2128689761 2322207012 2902758765 3289793267 3870345020 4257379522 4837931275 5805517530 6386069283 6579586534 8514759044 9675862550 9869379801 10643448805 11611035060 12772138566 13159173068 14513793825 16448966335 19351725100 19738759602 21286897610 25544277132 29027587650 31930346415 32897932670 36187725937 39477519204 42573795220 49346899005 53217244025 58055175300 63860692830 65795865340 72375451874 82244831675 98693798010 106434488050 108563177811 127721385660 144750903748 159651732075 164489663350 180938629685 197387596020 212868976100 217126355622 246734495025 319303464150 328979326700 361877259370 434252711244 493468990050 542815889055 638606928300 723754518740 904693148425 986937980100 1085631778110 1809386296850 2171263556220 2714079445275 3618772593700 5428158890550 10856317781100