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20200100200200 = 23325215771479477
BaseRepresentation
bin1001001011111001100111…
…10010111111111100001000
32122112002222201021212222200
410211330303302333330020
510121424301122401300
6110543444203520200
74153260212453514
oct445746362777410
978462881255880
1020200100200200
1164888a5a47118
122322ab8829060
13b36b272b686b
144db993783144
152506b6eee200
hex125f33cbff08

20200100200200 has 144 divisors (see below), whose sum is σ = 68270764232580. Its totient is φ = 5352383162880.

The previous prime is 20200100200187. The next prime is 20200100200237. The reversal of 20200100200200 is 200200100202.

It can be written as a sum of positive squares in 6 ways, for example, as 954103075524 + 19245997124676 = 976782^2 + 4387026^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35457139 + ... + 36022338.

Almost surely, 220200100200200 is an apocalyptic number.

20200100200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20200100200200 is an abundant number, since it is smaller than the sum of its proper divisors (48070664032380).

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

20200100200200 is a wasteful number, since it uses less digits than its factorization.

20200100200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71479656 (or 71479644 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20200100200200 its reverse (200200100202), we get a palindrome (20400300300402).

The spelling of 20200100200200 in words is "twenty trillion, two hundred billion, one hundred million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 157 180 200 225 300 314 360 450 471 600 628 785 900 942 1256 1413 1570 1800 1884 2355 2826 3140 3768 3925 4710 5652 6280 7065 7850 9420 11304 11775 14130 15700 18840 23550 28260 31400 35325 47100 56520 70650 94200 141300 282600 71479477 142958954 214438431 285917908 357397385 428876862 571835816 643315293 714794770 857753724 1072192155 1286630586 1429589540 1715507448 1786986925 2144384310 2573261172 2859179080 3216576465 3573973850 4288768620 5146522344 5360960775 6433152930 7147947700 8577537240 10721921550 11222277889 12866305860 14295895400 16082882325 21443843100 22444555778 25732611720 32165764650 33666833667 42887686200 44889111556 56111389445 64331529300 67333667334 89778223112 101000501001 112222778890 128663058600 134667334668 168334168335 202001002002 224445557780 269334669336 280556947225 336668336670 404002004004 448891115560 505002505005 561113894450 673336673340 808004008008 841670841675 1010005010010 1122227788900 1346673346680 1683341683350 2020010020020 2244455577800 2525012525025 3366683366700 4040020040040 5050025050050 6733366733400 10100050100100 20200100200200