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20021343301300 = 225211173166763113
BaseRepresentation
bin1001000110101100101010…
…00011100010111010110100
32121220000120211122112212111
410203112111003202322310
510111012202341120200
6110325402251100404
74134331360054045
oct443262503427264
977800524575774
1020021343301300
11641a00537a220
1222b432b441704
13b2300a0779c3
144d3076ad68cc
1524ac039e70ba
hex1235950e2eb4

20021343301300 has 144 divisors (see below), whose sum is σ = 47699297174592. Its totient is φ = 7233947929600.

The previous prime is 20021343301279. The next prime is 20021343301313. The reversal of 20021343301300 is 310334312002.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 317198544 + ... + 317261656.

It is an arithmetic number, because the mean of its divisors is an integer number (331245119268).

Almost surely, 220021343301300 is an apocalyptic number.

20021343301300 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 20021343301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23849648587296).

20021343301300 is an abundant number, since it is smaller than the sum of its proper divisors (27677953873292).

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

20021343301300 is a wasteful number, since it uses less digits than its factorization.

20021343301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64978 (or 64971 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 20021343301300 its reverse (310334312002), we get a palindrome (20331677613302).

The spelling of 20021343301300 in words is "twenty trillion, twenty-one billion, three hundred forty-three million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 173 220 275 346 550 692 865 1100 1667 1730 1903 3334 3460 3806 4325 6668 7612 8335 8650 9515 16670 17300 18337 19030 33340 36674 38060 41675 47575 63113 73348 83350 91685 95150 126226 166700 183370 190300 252452 288391 315565 366740 458425 576782 631130 694243 916850 1153564 1262260 1388486 1441955 1577825 1833700 2776972 2883910 3155650 3172301 3471215 5767820 6311300 6344602 6942430 7209775 10918549 12689204 13884860 14419550 15861505 17356075 21837098 28839100 31723010 34712150 43674196 54592745 63446020 69424300 79307525 105209371 109185490 120104039 158615050 210418742 218370980 240208078 272963725 317230100 420837484 480416156 526046855 545927450 600520195 1052093710 1091854900 1157303081 1201040390 2104187420 2314606162 2402080780 2630234275 3002600975 4629212324 5260468550 5786515405 6005201950 10520937100 11573030810 12010403900 18201221183 23146061620 28932577025 36402442366 57865154050 72804884732 91006105915 115730308100 182012211830 200213433013 364024423660 400426866026 455030529575 800853732052 910061059150 1001067165065 1820122118300 2002134330130 4004268660260 5005335825325 10010671650650 20021343301300