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20011120210000 = 24543727536923
BaseRepresentation
bin1001000110011001100111…
…01101100011000001010000
32121212001012101002201000101
410203030303231203001100
510110330233233210000
6110320552014502144
74133520133162123
oct443146355430120
977761171081011
1020011120210000
116415739740437
1222b2357804954
13b2206b0a9a5a
144d27870a03ba
1524a80626ce6a
hex123333b63050

20011120210000 has 100 divisors (see below), whose sum is σ = 48462012841792. Its totient is φ = 8002285488000.

The previous prime is 20011120209989. The next prime is 20011120210001. The reversal of 20011120210000 is 1202111002.

It is a tau number, because it is divible by the number of its divisors (100).

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 (20011120210001) 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 19 ways as a sum of consecutive naturals, for example, 37001539 + ... + 37538461.

Almost surely, 220011120210000 is an apocalyptic number.

20011120210000 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 20011120210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24231006420896).

20011120210000 is an abundant number, since it is smaller than the sum of its proper divisors (28450892631792).

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

20011120210000 is an equidigital number, since it uses as much as digits as its factorization.

20011120210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540678 (or 540657 counting only the distinct ones).

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

Adding to 20011120210000 its reverse (1202111002), we get a palindrome (20012322321002).

The spelling of 20011120210000 in words is "twenty trillion, eleven billion, one hundred twenty million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3727 5000 7454 10000 14908 18635 29816 37270 59632 74540 93175 149080 186350 298160 372700 465875 536923 745400 931750 1073846 1490800 1863500 2147692 2329375 2684615 3727000 4295384 4658750 5369230 7454000 8590768 9317500 10738460 13423075 18635000 21476920 26846150 37270000 42953840 53692300 67115375 107384600 134230750 214769200 268461500 335576875 536923000 671153750 1073846000 1342307500 2001112021 2684615000 4002224042 5369230000 8004448084 10005560105 16008896168 20011120210 32017792336 40022240420 50027800525 80044480840 100055601050 160088961680 200111202100 250139002625 400222404200 500278005250 800444808400 1000556010500 1250695013125 2001112021000 2501390026250 4002224042000 5002780052500 10005560105000 20011120210000