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200020200010020 = 2232513186773457661
BaseRepresentation
bin101101011110101011010100…
…111110000011000100100100
3222020012202002122111212222200
4231132223110332003010210
5202204112332200310040
61545224002241454500
760062661006500145
oct5536532476030444
9866182078455880
10200020200010020
11588070aa431905
121a525308341430
13877ba93225530
14375705a6d1acc
15181ceb7667630
hexb5ead4f83124

200020200010020 has 144 divisors (see below), whose sum is σ = 653404246093872. Its totient is φ = 49235370347520.

The previous prime is 200020200009989. The next prime is 200020200010027. The reversal of 200020200010020 is 20010002020002.

200020200010020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 93528202316004 + 106491997694016 = 9670998^2 + 10319496^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 200020200009984 and 200020200010011.

It is not an unprimeable number, because it can be changed into a prime (200020200010027) 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, 436819990 + ... + 437277650.

It is an arithmetic number, because the mean of its divisors is an integer number (4537529486763).

Almost surely, 2200020200010020 is an apocalyptic number.

200020200010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200020200010020 is an abundant number, since it is smaller than the sum of its proper divisors (453384046083852).

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

200020200010020 is a wasteful number, since it uses less digits than its factorization.

200020200010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644462 (or 644457 counting only the distinct ones).

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

Adding to 200020200010020 its reverse (20010002020002), we get a palindrome (220030202030022).

The spelling of 200020200010020 in words is "two hundred trillion, twenty billion, two hundred million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 186773 373546 457661 560319 747092 915322 933865 1120638 1372983 1680957 1830644 1867730 2241276 2288305 2428049 2745966 2801595 3361914 3735460 4118949 4576610 4856098 5491932 5603190 5949593 6723828 6864915 7284147 8237898 8404785 9153220 9712196 11206380 11899186 12140245 13729830 14568294 16475796 16809570 17848779 20594745 21852441 23798372 24280490 27459660 29136588 29747965 33619140 35697558 36420735 41189490 43704882 48560980 53546337 59495930 71395116 72841470 82378980 87409764 89243895 107092674 109262205 118991860 145682940 178487790 214185348 218524410 267731685 356975580 437048820 535463370 1070926740 85478717953 170957435906 256436153859 341914871812 427393589765 512872307718 769308461577 854787179530 1025744615436 1111223333389 1282180769295 1538616923154 1709574359060 2222446666778 2564361538590 3077233846308 3333670000167 3846542307885 4444893333556 5128723077180 5556116666945 6667340000334 7693084615770 10001010000501 11112233333890 13334680000668 15386169231540 16668350000835 20002020001002 22224466667780 33336700001670 40004040002004 50005050002505 66673400003340 100010100005010 200020200010020