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20213002204400 = 24522310692055253
BaseRepresentation
bin1001001100010001101001…
…10100001111010011110000
32122120100021212200121111002
410212020310310033103300
510122132212031020100
6110553420334341132
74154225015624225
oct446106464172360
978510255617432
1020213002204400
116493316879905
1223254b965a7a8
13b38102297085
144dc4590bd94c
15250bbea452d5
hex126234d0f4f0

20213002204400 has 120 divisors (see below), whose sum is σ = 50720544733920. Its totient is φ = 7726432158720.

The previous prime is 20213002204361. The next prime is 20213002204411. The reversal of 20213002204400 is 440220031202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8807174 + ... + 10862426.

It is an arithmetic number, because the mean of its divisors is an integer number (422671206116).

Almost surely, 220213002204400 is an apocalyptic number.

20213002204400 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 20213002204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25360272366960).

20213002204400 is an abundant number, since it is smaller than the sum of its proper divisors (30507542529520).

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

20213002204400 is a wasteful number, since it uses less digits than its factorization.

20213002204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056363 (or 2056352 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20213002204400 its reverse (440220031202), we get a palindrome (20653222235602).

The spelling of 20213002204400 in words is "twenty trillion, two hundred thirteen billion, two million, two hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1069 1150 1840 2138 2300 4276 4600 5345 8552 9200 10690 17104 21380 24587 26725 42760 49174 53450 85520 98348 106900 122935 196696 213800 245870 393392 427600 491740 614675 983480 1229350 1966960 2055253 2458700 4110506 4917400 8221012 9834800 10276265 16442024 20552530 32884048 41105060 47270819 51381325 82210120 94541638 102762650 164420240 189083276 205525300 236354095 378166552 411050600 472708190 756333104 822101200 945416380 1181770475 1890832760 2197065457 2363540950 3781665520 4394130914 4727081900 8788261828 9454163800 10985327285 17576523656 18908327600 21970654570 35153047312 43941309140 50532505511 54926636425 87882618280 101065011022 109853272850 175765236560 202130022044 219706545700 252662527555 404260044088 439413091400 505325055110 808520088176 878826182800 1010650110220 1263312637775 2021300220440 2526625275550 4042600440880 5053250551100 10106501102200 20213002204400