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20220021010000 = 24547241265349
BaseRepresentation
bin1001001100011110101110…
…01010110110111001010000
32122121000102000210212201001
410212033113022312321100
510122241100334310000
6111000541023551344
74154563653526300
oct446172712667120
978530360725631
1020220021010000
1164962987a8399
12232693815b554
13b38980455896
144dc923333600
15250e80d2646a
hex1263d72b6e50

20220021010000 has 150 divisors (see below), whose sum is σ = 56947297164450. Its totient is φ = 6932578464000.

The previous prime is 20220021009983. The next prime is 20220021010037. The reversal of 20220021010000 is 1012002202.

It can be written as a sum of positive squares in 5 ways, for example, as 9590517084736 + 10629503925264 = 3096856^2 + 3260292^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 20142675 + ... + 21122674.

It is an arithmetic number, because the mean of its divisors is an integer number (379648647763).

Almost surely, 220220021010000 is an apocalyptic number.

20220021010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20220021010000 is an abundant number, since it is smaller than the sum of its proper divisors (36727276154450).

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

20220021010000 is an equidigital number, since it uses as much as digits as its factorization.

20220021010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41265391 (or 41265363 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20220021010000 its reverse (1012002202), we get a palindrome (20221033012202).

The spelling of 20220021010000 in words is "twenty trillion, two hundred twenty billion, twenty-one million, ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 625 700 784 875 980 1000 1225 1250 1400 1750 1960 2000 2450 2500 2800 3500 3920 4375 4900 5000 6125 7000 8750 9800 10000 12250 14000 17500 19600 24500 30625 35000 49000 61250 70000 98000 122500 245000 490000 41265349 82530698 165061396 206326745 288857443 330122792 412653490 577714886 660245584 825306980 1031633725 1155429772 1444287215 1650613960 2022002101 2063267450 2310859544 2888574430 3301227920 4044004202 4126534900 4621719088 5158168625 5777148860 7221436075 8088008404 8253069800 10110010505 10316337250 11554297720 14442872150 16176016808 16506139600 20220021010 20632674500 23108595440 25790843125 28885744300 32352033616 36107180375 40440042020 41265349000 50550052525 51581686250 57771488600 72214360750 80880084040 82530698000 101100105050 103163372500 115542977200 144428721500 161760168080 180535901875 202200210100 206326745000 252750262625 288857443000 361071803750 404400420200 412653490000 505500525250 577714886000 722143607500 808800840400 1011001050500 1263751313125 1444287215000 2022002101000 2527502626250 2888574430000 4044004202000 5055005252500 10110010505000 20220021010000