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2102200201200 = 2435211159257591
BaseRepresentation
bin11110100101110100111…
…001010110111111110000
321102222010221112222212010
4132211310321112333300
5233420301222414300
64245423142002520
7304610323611231
oct36456471267760
97388127488763
102102200201200
117405a1233690
1229b506716440
1312330cb45bc8
1473a65c01088
1539a3a473a50
hex1e974e56ff0

2102200201200 has 120 divisors (see below), whose sum is σ = 7346234203776. Its totient is φ = 509624288000.

The previous prime is 2102200201183. The next prime is 2102200201201. The reversal of 2102200201200 is 21020022012.

It is a tau number, because it is divible by the number of its divisors (120).

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 (2102200201201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79615596 + ... + 79641995.

Almost surely, 22102200201200 is an apocalyptic number.

2102200201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102200201200 is an abundant number, since it is smaller than the sum of its proper divisors (5244034002576).

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

2102200201200 is a wasteful number, since it uses less digits than its factorization.

2102200201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159257623 (or 159257612 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2102200201200 its reverse (21020022012), we get a palindrome (2123220223212).

The spelling of 2102200201200 in words is "two trillion, one hundred two billion, two hundred million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 159257591 318515182 477772773 637030364 796287955 955545546 1274060728 1592575910 1751833501 1911091092 2388863865 2548121456 3185151820 3503667002 3822182184 3981439775 4777727730 5255500503 6370303640 7007334004 7644364368 7962879550 8759167505 9555455460 10511001006 11944319325 12740607280 14014668008 15925759100 17518335010 19110910920 21022002012 23888638650 26277502515 28029336016 31851518200 35036670020 38221821840 42044004024 43795837525 47777277300 52555005030 63703036400 70073340040 84088008048 87591675050 95554554600 105110010060 131387512575 140146680080 175183350100 191109109200 210220020120 262775025150 350366700200 420440040240 525550050300 700733400400 1051100100600 2102200201200