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2100200203320 = 2335331514710273
BaseRepresentation
bin11110100011111101101…
…011111110010000111000
321102202222120012120112120
4132203331223332100320
5233402202223001240
64244452455041240
7304506630115512
oct36437553762070
97382876176476
102100200203320
1173a76529867a
1229b048970220
1312308169c7cb
1473916346bb2
153996eab1ad0
hex1e8fdafe438

2100200203320 has 128 divisors (see below), whose sum is σ = 6321478775040. Its totient is φ = 558198558720.

The previous prime is 2100200203313. The next prime is 2100200203331. The reversal of 2100200203320 is 233020020012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2100200203320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204433704 + ... + 204443976.

It is an arithmetic number, because the mean of its divisors is an integer number (49386552930).

Almost surely, 22100200203320 is an apocalyptic number.

2100200203320 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 2100200203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160739387520).

2100200203320 is an abundant number, since it is smaller than the sum of its proper divisors (4221278571720).

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

2100200203320 is a wasteful number, since it uses less digits than its factorization.

2100200203320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15765 (or 15761 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2100200203320 its reverse (233020020012), we get a palindrome (2333220223332).

The spelling of 2100200203320 in words is "two trillion, one hundred billion, two hundred million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 331 662 993 1324 1655 1986 2648 3310 3972 4965 5147 6620 7944 9930 10273 10294 13240 15441 19860 20546 20588 25735 30819 30882 39720 41092 41176 51365 51470 61638 61764 77205 82184 102730 102940 123276 123528 154095 154410 205460 205880 246552 308190 308820 410920 616380 617640 1232760 1703657 3400363 3407314 5110971 6800726 6814628 8518285 10201089 10221942 13601452 13629256 17001815 17036570 20402178 20443884 25554855 27202904 34003630 34073140 40804356 40887768 51005445 51109710 52875131 68007260 68146280 81608712 102010890 102219420 105750262 136014520 158625393 204021780 204438840 211500524 264375655 317250786 408043560 423001048 528751310 634501572 793126965 1057502620 1269003144 1586253930 2115005240 3172507860 6345015720 17501668361 35003336722 52505005083 70006673444 87508341805 105010010166 140013346888 175016683610 210020020332 262525025415 350033367220 420040040664 525050050830 700066734440 1050100101660 2100200203320