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2000221021120 = 26571987449399
BaseRepresentation
bin11101000110110110011…
…101101010001111000000
321002012220211201212221111
4131012312131222033000
5230232423040133440
64130515554133104
7264340225103350
oct35066635521700
97065824655844
102000221021120
1170131a691273
122837a5b81194
1311680a29b7ba
146cb4dd84b60
153706c5da4ea
hex1d1b676a3c0

2000221021120 has 112 divisors (see below), whose sum is σ = 5446210291200. Its totient is φ = 685443400704.

The previous prime is 2000221021109. The next prime is 2000221021129. The reversal of 2000221021120 is 211201220002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 2000221021120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000221021129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4226181 + ... + 4675579.

It is an arithmetic number, because the mean of its divisors is an integer number (48626877600).

Almost surely, 22000221021120 is an apocalyptic number.

2000221021120 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 2000221021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723105145600).

2000221021120 is an abundant number, since it is smaller than the sum of its proper divisors (3445989270080).

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

2000221021120 is a wasteful number, since it uses less digits than its factorization.

2000221021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451410 (or 451400 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2000221021120 its reverse (211201220002), we get a palindrome (2211422241122).

The spelling of 2000221021120 in words is "two trillion, two hundred twenty-one million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 1987 2240 3974 7948 9935 13909 15896 19870 27818 31792 39740 55636 63584 69545 79480 111272 127168 139090 158960 222544 278180 317920 445088 449399 556360 635840 890176 898798 1112720 1797596 2225440 2246995 3145793 3595192 4450880 4493990 6291586 7190384 8987980 12583172 14380768 15728965 17975960 25166344 28761536 31457930 35951920 50332688 62915860 71903840 100665376 125831720 143807680 201330752 251663440 503326880 892955813 1006653760 1785911626 3571823252 4464779065 6250690691 7143646504 8929558130 12501381382 14287293008 17859116260 25002762764 28574586016 31253453455 35718232520 50005525528 57149172032 62506906910 71436465040 100011051056 125013813820 142872930080 200022102112 250027627640 285745860160 400044204224 500055255280 1000110510560 2000221021120