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20200241100 = 223521310748407
BaseRepresentation
bin10010110100000001…
…110011011111001100
31221010210022120101210
4102310001303133030
5312332230203400
613140241134420
71313403134124
oct226401633714
957123276353
1020200241100
118626567136
123ab902a410
131b9c0178b0
14d98b2bc84
157d3621950
hex4b40737cc

20200241100 has 144 divisors (see below), whose sum is σ = 63531433728. Its totient is φ = 4925794560.

The previous prime is 20200241093. The next prime is 20200241123. The reversal of 20200241100 is 114200202.

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, 393097 + ... + 441503.

It is an arithmetic number, because the mean of its divisors is an integer number (441190512).

Almost surely, 220200241100 is an apocalyptic number.

20200241100 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 20200241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31765716864).

20200241100 is an abundant number, since it is smaller than the sum of its proper divisors (43331192628).

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

20200241100 is a wasteful number, since it uses less digits than its factorization.

20200241100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48544 (or 48537 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20200241100 its reverse (114200202), we get a palindrome (20314441302).

The spelling of 20200241100 in words is "twenty billion, two hundred million, two hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 107 130 150 156 195 214 260 300 321 325 390 428 535 642 650 780 975 1070 1284 1300 1391 1605 1950 2140 2675 2782 3210 3900 4173 5350 5564 6420 6955 8025 8346 10700 13910 16050 16692 20865 27820 32100 34775 41730 48407 69550 83460 96814 104325 139100 145221 193628 208650 242035 290442 417300 484070 580884 629291 726105 968140 1210175 1258582 1452210 1887873 2420350 2517164 2904420 3146455 3630525 3775746 4840700 5179549 6292910 7261050 7551492 9439365 10359098 12585820 14522100 15538647 15732275 18878730 20718196 25897745 31077294 31464550 37757460 47196825 51795490 62154588 62929100 67334137 77693235 94393650 103590980 129488725 134668274 155386470 188787300 202002411 258977450 269336548 310772940 336670685 388466175 404004822 517954900 673341370 776932350 808009644 1010012055 1346682740 1553864700 1683353425 2020024110 3366706850 4040048220 5050060275 6733413700 10100120550 20200241100