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20021011300 = 22522961113177
BaseRepresentation
bin10010101001010110…
…000110001101100100
31220200022001202100001
4102221112012031210
5312000334330200
613110355431044
71306065534223
oct225126061544
956608052301
1020021011300
118544380134
123a68bb5484
131b70b53464
14d7cdd4cba
157c2a1b76a
hex4a9586364

20021011300 has 72 divisors (see below), whose sum is σ = 45680904360. Its totient is φ = 7605427200.

The previous prime is 20021011291. The next prime is 20021011357. The reversal of 20021011300 is 311012002.

It can be written as a sum of positive squares in 12 ways, for example, as 16833505536 + 3187505764 = 129744^2 + 56458^2 .

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

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, 120312 + ... + 233488.

It is an arithmetic number, because the mean of its divisors is an integer number (634457005).

Almost surely, 220021011300 is an apocalyptic number.

20021011300 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 20021011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22840452180).

20021011300 is an abundant number, since it is smaller than the sum of its proper divisors (25659893060).

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

20021011300 is a wasteful number, since it uses less digits than its factorization.

20021011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113281 (or 113274 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 20021011300 its reverse (311012002), we get a palindrome (20332023302).

The spelling of 20021011300 in words is "twenty billion, twenty-one million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 61 100 116 122 145 244 290 305 580 610 725 1220 1450 1525 1769 2900 3050 3538 6100 7076 8845 17690 35380 44225 88450 113177 176900 226354 452708 565885 1131770 2263540 2829425 3282133 5658850 6564266 6903797 11317700 13128532 13807594 16410665 27615188 32821330 34518985 65642660 69037970 82053325 138075940 164106650 172594925 200210113 328213300 345189850 400420226 690379700 800840452 1001050565 2002101130 4004202260 5005252825 10010505650 20021011300