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2100322323300 = 2235229503479953
BaseRepresentation
bin11110100100000100111…
…101110100101101100100
321102210022001222220122210
4132210010331310231210
5233402430003321200
64244512540323420
7304512642116445
oct36440475645544
97383261886583
102100322323300
1173a818218183
1229b081843570
131230a0a89656
14739286552cc
153997a685650
hex1e904f74b64

2100322323300 has 144 divisors (see below), whose sum is σ = 6298993088640. Its totient is φ = 539696424960.

The previous prime is 2100322323283. The next prime is 2100322323331. The reversal of 2100322323300 is 33232230012.

It is a super-2 number, since 2×21003223233002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4136124 + ... + 4616076.

It is an arithmetic number, because the mean of its divisors is an integer number (43743007560).

Almost surely, 22100322323300 is an apocalyptic number.

2100322323300 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 2100322323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149496544320).

2100322323300 is an abundant number, since it is smaller than the sum of its proper divisors (4198670765340).

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

2100322323300 is a wasteful number, since it uses less digits than its factorization.

2100322323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480502 (or 480495 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 2100322323300 its reverse (33232230012), we get a palindrome (2133554553312).

The spelling of 2100322323300 in words is "two trillion, one hundred billion, three hundred twenty-two million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 503 580 725 870 1006 1450 1509 1740 2012 2175 2515 2900 3018 4350 5030 6036 7545 8700 10060 12575 14587 15090 25150 29174 30180 37725 43761 50300 58348 72935 75450 87522 145870 150900 175044 218805 291740 364675 437610 479953 729350 875220 959906 1094025 1439859 1458700 1919812 2188050 2399765 2879718 4376100 4799530 5759436 7199295 9599060 11998825 13918637 14398590 23997650 27837274 28797180 35996475 41755911 47995300 55674548 69593185 71992950 83511822 139186370 143985900 167023644 208779555 241416359 278372740 347965925 417559110 482832718 695931850 724249077 835118220 965665436 1043897775 1207081795 1391863700 1448498154 2087795550 2414163590 2896996308 3621245385 4175591100 4828327180 6035408975 7001074411 7242490770 12070817950 14002148822 14484981540 18106226925 21003223233 24141635900 28004297644 35005372055 36212453850 42006446466 70010744110 72424907700 84012892932 105016116165 140021488220 175026860275 210032232330 350053720550 420064464660 525080580825 700107441100 1050161161650 2100322323300