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200200211210100 = 2235213110133502729
BaseRepresentation
bin101101100001010010111110…
…011110010001111101110100
3222020211221201221100022212010
4231201102332132101331310
5202220040013032210400
61545442412442324220
760111662602445433
oct5541227636217564
9866757657308763
10200200211210100
1158876484023852
121a5541857b9670
138792a5028b93a
143761a55ba511a
151822a00d34450
hexb614be791f74

200200211210100 has 144 divisors (see below), whose sum is σ = 583726430992320. Its totient is φ = 52973856998400.

The previous prime is 200200211210057. The next prime is 200200211210107. The reversal of 200200211210100 is 1012112002002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200200211210107) 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, 397975536 + ... + 398478264.

It is an arithmetic number, because the mean of its divisors is an integer number (4053655770780).

Almost surely, 2200200211210100 is an apocalyptic number.

200200211210100 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 200200211210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291863215496160).

200200211210100 is an abundant number, since it is smaller than the sum of its proper divisors (383526219782220).

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

200200211210100 is a wasteful number, since it uses less digits than its factorization.

200200211210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513010 (or 513003 counting only the distinct ones).

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

Adding to 200200211210100 its reverse (1012112002002), we get a palindrome (201212323212102).

The spelling of 200200211210100 in words is "two hundred trillion, two hundred billion, two hundred eleven million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 131 150 262 300 393 524 655 786 1310 1572 1965 2620 3275 3930 6550 7860 9825 10133 13100 19650 20266 30399 39300 40532 50665 60798 101330 121596 151995 202660 253325 303990 502729 506650 607980 759975 1005458 1013300 1327423 1508187 1519950 2010916 2513645 2654846 3016374 3039900 3982269 5027290 5309692 6032748 6637115 7540935 7964538 10054580 12568225 13274230 15081870 15929076 19911345 25136450 26548460 30163740 33185575 37704675 39822690 50272900 65857499 66371150 75409350 79645380 99556725 131714998 132742300 150818700 197572497 199113450 263429996 329287495 395144994 398226900 658574990 790289988 987862485 1317149980 1646437475 1975724970 3292874950 3951449940 4939312425 5094152957 6585749900 9878624850 10188305914 15282458871 19757249700 20376611828 25470764785 30564917742 50941529570 61129835484 76412294355 101883059140 127353823925 152824588710 254707647850 305649177420 382061471775 509415295700 667334037367 764122943550 1334668074734 1528245887100 2002002112101 2669336149468 3336670186835 4004004224202 6673340373670 8008008448404 10010010560505 13346680747340 16683350934175 20020021121010 33366701868350 40040042242020 50050052802525 66733403736700 100100105605050 200200211210100