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20211020221120 = 265378092110027
BaseRepresentation
bin1001001100001101111101…
…01011100100101011000000
32122120011011202020102112221
410212012332223210223000
510122114132134033440
6110552451533500424
74154124631221301
oct446067653445300
978504152212487
1020211020221120
11649249a0184a3
122325045941714
13b37b7778a4c1
144dc30bb947a8
15250b05a40d4a
hex1261beae4ac0

20211020221120 has 112 divisors (see below), whose sum is σ = 49489356322080. Its totient is φ = 7856183844864.

The previous prime is 20211020221103. The next prime is 20211020221121. The reversal of 20211020221120 is 2112202011202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20211020221094 and 20211020221103.

It is not an unprimeable number, because it can be changed into a prime (20211020221121) 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, 8523547 + ... + 10633573.

Almost surely, 220211020221120 is an apocalyptic number.

20211020221120 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 20211020221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24744678161040).

20211020221120 is an abundant number, since it is smaller than the sum of its proper divisors (29278336100960).

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

20211020221120 is a wasteful number, since it uses less digits than its factorization.

20211020221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110890 (or 2110880 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20211020221120 its reverse (2112202011202), we get a palindrome (22323222232322).

The spelling of 20211020221120 in words is "twenty trillion, two hundred eleven billion, twenty million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 809 1184 1480 1618 2368 2960 3236 4045 5920 6472 8090 11840 12944 16180 25888 29933 32360 51776 59866 64720 119732 129440 149665 239464 258880 299330 478928 598660 957856 1197320 1915712 2110027 2394640 4220054 4789280 8440108 9578560 10550135 16880216 21100270 33760432 42200540 67520864 78070999 84401080 135041728 156141998 168802160 312283996 337604320 390354995 624567992 675208640 780709990 1249135984 1561419980 1707011843 2498271968 3122839960 3414023686 4996543936 6245679920 6828047372 8535059215 12491359840 13656094744 17070118430 24982719680 27312189488 34140236860 54624378976 63159438191 68280473720 109248757952 126318876382 136560947440 252637752764 273121894880 315797190955 505275505528 546243789760 631594381910 1010551011056 1263188763820 2021102022112 2526377527640 4042204044224 5052755055280 10105510110560 20211020221120