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2012663350200 = 2335231108207707
BaseRepresentation
bin11101010010011100000…
…101011000001110111000
321010102000222011200201110
4131102130011120032320
5230433413304201300
64140334344320320
7265260450130266
oct35223405301670
97112028150643
102012663350200
11706624a9a268
12286098a730a0
13117a40c755b9
146d5b0625436
1537549ad1550
hex1d49c1583b8

2012663350200 has 96 divisors (see below), whose sum is σ = 6440522780160. Its totient is φ = 519396988800.

The previous prime is 2012663350177. The next prime is 2012663350219. The reversal of 2012663350200 is 20533662102.

It is a super-2 number, since 2×20126633502002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54085254 + ... + 54122453.

It is an arithmetic number, because the mean of its divisors is an integer number (67088778960).

Almost surely, 22012663350200 is an apocalyptic number.

2012663350200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012663350200 is an abundant number, since it is smaller than the sum of its proper divisors (4427859429960).

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

2012663350200 is a wasteful number, since it uses less digits than its factorization.

2012663350200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108207757 (or 108207748 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 2012663350200 in words is "two trillion, twelve billion, six hundred sixty-three million, three hundred fifty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 3100 3720 4650 6200 9300 18600 108207707 216415414 324623121 432830828 541038535 649246242 865661656 1082077070 1298492484 1623115605 2164154140 2596984968 2705192675 3246231210 3354438917 4328308280 5410385350 6492462420 6708877834 8115578025 10063316751 10820770700 12984924840 13417755668 16231156050 16772194585 20126633502 21641541400 26835511336 32462312100 33544389170 40253267004 50316583755 64924624200 67088778340 80506534008 83860972925 100633167510 134177556680 167721945850 201266335020 251582918775 335443891700 402532670040 503165837550 670887783400 1006331675100 2012663350200