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20202220210000 = 245410193198197
BaseRepresentation
bin1001001011111101100100…
…01010001100011101010000
32122112022110110110112201011
410211332302022030131100
510121443121333210000
6110544434415020304
74153363564320223
oct445766212143520
978468413415634
1020202220210000
116489793701934
1223233aa80a694
13b370a458c42a
144dbb1515b5ba
1525078d1ba2ba
hex125fb228c750

20202220210000 has 100 divisors (see below), whose sum is σ = 48916640704932. Its totient is φ = 8080054528000.

The previous prime is 20202220209961. The next prime is 20202220210061. The reversal of 20202220210000 is 1202220202.

It can be written as a sum of positive squares in 10 ways, for example, as 9020579751184 + 11181640458816 = 3003428^2 + 3343896^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101830902 + ... + 102029098.

Almost surely, 220202220210000 is an apocalyptic number.

20202220210000 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 20202220210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24458320352466).

20202220210000 is an abundant number, since it is smaller than the sum of its proper divisors (28714420494932).

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

20202220210000 is a wasteful number, since it uses less digits than its factorization.

20202220210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208418 (or 208397 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 20202220210000 its reverse (1202220202), we get a palindrome (20203422430202).

The spelling of 20202220210000 in words is "twenty trillion, two hundred two billion, two hundred twenty million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 10193 20386 40772 50965 81544 101930 163088 198197 203860 254825 396394 407720 509650 792788 815440 990985 1019300 1274125 1585576 1981970 2038600 2548250 3171152 3963940 4077200 4954925 5096500 6370625 7927880 9909850 10193000 12741250 15855760 19819700 20386000 24774625 25482500 39639400 49549250 50965000 79278800 99098500 101930000 123873125 198197000 247746250 396394000 495492500 990985000 1981970000 2020222021 4040444042 8080888084 10101110105 16161776168 20202220210 32323552336 40404440420 50505550525 80808880840 101011101050 161617761680 202022202100 252527752625 404044404200 505055505250 808088808400 1010111010500 1262638763125 2020222021000 2525277526250 4040444042000 5050555052500 10101110105000 20202220210000