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20212213112300 = 225211191607158489
BaseRepresentation
bin1001001100010000001011…
…10010000101110111101100
32122120021020212212120121202
410212020011302011313230
510122124103024043200
6110553210145345032
74154166324511166
oct446100562056754
978507225776552
1020212213112300
116492a51409280
122325319338178
13b38007963081
144dc3c2393936
15250b756251d5
hex126205c85dec

20212213112300 has 144 divisors (see below), whose sum is σ = 48177876418560. Its totient is φ = 7299323328000.

The previous prime is 20212213112263. The next prime is 20212213112317. The reversal of 20212213112300 is 321131221202.

It is a super-2 number, since 2×202122131123002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127451456 + ... + 127609944.

It is an arithmetic number, because the mean of its divisors is an integer number (334568586240).

Almost surely, 220212213112300 is an apocalyptic number.

20212213112300 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 20212213112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24088938209280).

20212213112300 is an abundant number, since it is smaller than the sum of its proper divisors (27965663306260).

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

20212213112300 is a wasteful number, since it uses less digits than its factorization.

20212213112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159312 (or 159305 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 20212213112300 its reverse (321131221202), we get a palindrome (20533344333502).

The spelling of 20212213112300 in words is "twenty trillion, two hundred twelve billion, two hundred thirteen million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 191 220 275 382 550 607 764 955 1100 1214 1910 2101 2428 3035 3820 4202 4775 6070 6677 8404 9550 10505 12140 13354 15175 19100 21010 26708 30350 33385 42020 52525 60700 66770 105050 115937 133540 158489 166925 210100 231874 316978 333850 463748 579685 633956 667700 792445 1159370 1275307 1584890 1743379 2318740 2550614 2898425 3169780 3486758 3962225 5101228 5796850 6376535 6973516 7924450 8716895 11593700 12753070 15848900 17433790 25506140 30271399 31882675 34867580 43584475 60542798 63765350 87168950 96202823 121085596 127530700 151356995 174337900 192405646 302713990 332985389 384811292 481014115 605427980 665970778 756784975 962028230 1058231053 1331941556 1513569950 1664926945 1924056460 2116462106 2405070575 3027139900 3329853890 4232924212 4810141150 5291155265 6659707780 8324634725 9620282300 10582310530 16649269450 18374739193 21164621060 26455776325 33298538900 36749478386 52911552650 73498956772 91873695965 105823105300 183747391930 202122131123 367494783860 404244262246 459368479825 808488524492 918736959650 1010610655615 1837473919300 2021221311230 4042442622460 5053053278075 10106106556150 20212213112300