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20211111100000 = 2555277729643
BaseRepresentation
bin1001001100001110001000…
…00110001111111001100000
32122120011102002020112221101
410212013010012033321200
510122114323420200000
6110552504541404144
74154130113534302
oct446070406177140
978504362215841
1020211111100000
11649253634a107
122325070269654
13b37b905594a2
144dc319c8d972
15250b0d9e2e6a
hex1261c418fe60

20211111100000 has 144 divisors (see below), whose sum is σ = 49914715472496. Its totient is φ = 8055247680000.

The previous prime is 20211111099931. The next prime is 20211111100001. The reversal of 20211111100000 is 111111202.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20211111100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20211111100001) 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 23 ways as a sum of consecutive naturals, for example, 27335179 + ... + 28064821.

It is an arithmetic number, because the mean of its divisors is an integer number (346629968559).

Almost surely, 220211111100000 is an apocalyptic number.

20211111100000 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 20211111100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24957357736248).

20211111100000 is an abundant number, since it is smaller than the sum of its proper divisors (29703604372496).

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

20211111100000 is an frugal number, since it uses more digits than its factorization.

20211111100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729955 (or 729927 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20211111100000 its reverse (111111202), we get a palindrome (20211222211202).

The spelling of 20211111100000 in words is "twenty trillion, two hundred eleven billion, one hundred eleven million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 277 400 500 554 625 800 1000 1108 1250 1385 2000 2216 2500 2770 3125 4000 4432 5000 5540 6250 6925 8864 10000 11080 12500 13850 20000 22160 25000 27700 34625 44320 50000 55400 69250 100000 110800 138500 173125 221600 277000 346250 554000 692500 729643 865625 1108000 1385000 1459286 1731250 2770000 2918572 3462500 3648215 5540000 5837144 6925000 7296430 11674288 13850000 14592860 18241075 23348576 27700000 29185720 36482150 58371440 72964300 91205375 116742880 145928600 182410750 202111111 291857200 364821500 404222222 456026875 583714400 729643000 808444444 912053750 1010555555 1459286000 1616888888 1824107500 2021111110 2280134375 2918572000 3233777776 3648215000 4042222220 4560268750 5052777775 6467555552 7296430000 8084444440 9120537500 10105555550 14592860000 16168888880 18241075000 20211111100 25263888875 32337777760 36482150000 40422222200 50527777750 72964300000 80844444400 101055555500 126319444375 161688888800 202111111000 252638888750 404222222000 505277777500 631597221875 808444444000 1010555555000 1263194443750 2021111110000 2526388887500 4042222220000 5052777775000 10105555550000 20211111100000