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20021021210000 = 24541726927689
BaseRepresentation
bin1001000110101100000011…
…10110110111010110010000
32121212222202101120121200002
410203112001312313112100
510111011022412210000
6110325310303345132
74134320366245256
oct443260166672620
977788671517602
1020021021210000
11641995a587268
1222b425b5b21a8
13b22c88413935
144d30460125d6
1524abd55c28d5
hex123581db7590

20021021210000 has 150 divisors (see below), whose sum is σ = 51491974895130. Its totient is φ = 7537324544000.

The previous prime is 20021021209993. The next prime is 20021021210089. The reversal of 20021021210000 is 1212012002.

It is a happy number.

It can be written as a sum of positive squares in 15 ways, for example, as 12460787040256 + 7560234169744 = 3529984^2 + 2749588^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 573845 + ... + 6353844.

Almost surely, 220021021210000 is an apocalyptic number.

20021021210000 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 20021021210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25745987447565).

20021021210000 is an abundant number, since it is smaller than the sum of its proper divisors (31470953685130).

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

20021021210000 is an equidigital number, since it uses as much as digits as its factorization.

20021021210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6927751 (or 6927713 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20021021210000 its reverse (1212012002), we get a palindrome (20022233222002).

The spelling of 20021021210000 in words is "twenty trillion, twenty-one billion, twenty-one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 289 340 400 425 500 578 625 680 850 1000 1156 1250 1360 1445 1700 2000 2125 2312 2500 2890 3400 4250 4624 5000 5780 6800 7225 8500 10000 10625 11560 14450 17000 21250 23120 28900 34000 36125 42500 57800 72250 85000 115600 144500 170000 180625 289000 361250 578000 722500 1445000 2890000 6927689 13855378 27710756 34638445 55421512 69276890 110843024 117770713 138553780 173192225 235541426 277107560 346384450 471082852 554215120 588853565 692768900 865961125 942165704 1177707130 1385537800 1731922250 1884331408 2002102121 2355414260 2771075600 2944267825 3463844500 4004204242 4329805625 4710828520 5888535650 6927689000 8008408484 8659611250 9421657040 10010510605 11777071300 13855378000 14721339125 16016816968 17319222500 20021021210 23554142600 29442678250 32033633936 34638445000 40042042420 47108285200 50052553025 58885356500 69276890000 73606695625 80084084840 100105106050 117770713000 147213391250 160168169680 200210212100 235541426000 250262765125 294426782500 400420424200 500525530250 588853565000 800840848400 1001051060500 1177707130000 1251313825625 2002102121000 2502627651250 4004204242000 5005255302500 10010510605000 20021021210000