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20010020320 = 255376155411
BaseRepresentation
bin10010101000101100…
…001010110111100000
31220122112101100112201
4102220230022313200
5311440031122240
613105324102544
71305603236443
oct225054126740
956575340481
1020010020320
118539153484
123a65394a54
131b6b7a5814
14d7b77365a
157c1a99d9a
hex4a8b0ade0

20010020320 has 96 divisors (see below), whose sum is σ = 49348154016. Its totient is φ = 7659878400.

The previous prime is 20010020281. The next prime is 20010020347. The reversal of 20010020320 is 2302001002.

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

It is a junction number, because it is equal to n+sod(n) for n = 20010020297 and 20010020306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333415 + ... + 388825.

It is an arithmetic number, because the mean of its divisors is an integer number (514043271).

Almost surely, 220010020320 is an apocalyptic number.

20010020320 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 20010020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24674077008).

20010020320 is an abundant number, since it is smaller than the sum of its proper divisors (29338133696).

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

20010020320 is a wasteful number, since it uses less digits than its factorization.

20010020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55524 (or 55516 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 20010020320 its reverse (2302001002), we get a palindrome (22312021322).

The spelling of 20010020320 in words is "twenty billion, ten million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 61 74 80 122 148 160 185 244 296 305 370 488 592 610 740 976 1184 1220 1480 1952 2257 2440 2960 4514 4880 5920 9028 9760 11285 18056 22570 36112 45140 55411 72224 90280 110822 180560 221644 277055 361120 443288 554110 886576 1108220 1773152 2050207 2216440 3380071 4100414 4432880 6760142 8200828 8865760 10251035 13520284 16401656 16900355 20502070 27040568 32803312 33800710 41004140 54081136 65606624 67601420 82008280 108162272 125062627 135202840 164016560 250125254 270405680 328033120 500250508 540811360 625313135 1000501016 1250626270 2001002032 2501252540 4002004064 5002505080 10005010160 20010020320