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2001021211000 = 23537436647911
BaseRepresentation
bin11101000111100110001…
…010001001000101111000
321002021222121102202002201
4131013212022021011320
5230241042412223000
64131131221035544
7264366112440430
oct35074612110570
97067877382081
102001021211000
117016a0341819
12283989b55bb4
13116906cb9c36
146cbc835d2c0
15370b799d96a
hex1d1e6289178

2001021211000 has 128 divisors (see below), whose sum is σ = 5475752156160. Its totient is φ = 670109328000.

The previous prime is 2001021210989. The next prime is 2001021211009. The reversal of 2001021211000 is 1121201002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001021211009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3022956 + ... + 3624955.

It is an arithmetic number, because the mean of its divisors is an integer number (42779313720).

Almost surely, 22001021211000 is an apocalyptic number.

2001021211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001021211000 is an abundant number, since it is smaller than the sum of its proper divisors (3474730945160).

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

2001021211000 is a wasteful number, since it uses less digits than its factorization.

2001021211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6647982 (or 6647968 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2001021211000 its reverse (1121201002), we get a palindrome (2002142412002).

The spelling of 2001021211000 in words is "two trillion, one billion, twenty-one million, two hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 43 50 56 70 86 100 125 140 172 175 200 215 250 280 301 344 350 430 500 602 700 860 875 1000 1075 1204 1400 1505 1720 1750 2150 2408 3010 3500 4300 5375 6020 7000 7525 8600 10750 12040 15050 21500 30100 37625 43000 60200 75250 150500 301000 6647911 13295822 26591644 33239555 46535377 53183288 66479110 93070754 132958220 166197775 186141508 232676885 265916440 285860173 332395550 372283016 465353770 571720346 664791100 830988875 930707540 1143440692 1163384425 1329582200 1429300865 1661977750 1861415080 2001021211 2286881384 2326768850 2858601730 3323955500 4002042422 4653537700 5717203460 5816922125 6647911000 7146504325 8004084844 9307075400 10005106055 11434406920 11633844250 14293008650 16008169688 20010212110 23267688500 28586017300 35732521625 40020424220 46535377000 50025530275 57172034600 71465043250 80040848440 100051060550 142930086500 200102121100 250127651375 285860173000 400204242200 500255302750 1000510605500 2001021211000