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20211000002020 = 22517137641676909
BaseRepresentation
bin1001001100001101111010…
…11110011100010111100100
32122120011010100012012011101
410212012331132130113210
510122114112000031040
6110552445532245444
74154124264320422
oct446067536342744
978504110165141
1020211000002020
1164924896685a3
12232503b010884
13b37b7352b439
144dc309210112
15250b03d9a09a
hex1261bd79c5e4

20211000002020 has 96 divisors (see below), whose sum is σ = 45338467880160. Its totient is φ = 7541513256960.

The previous prime is 20211000001993. The next prime is 20211000002069. The reversal of 20211000002020 is 2020000011202.

It can be written as a sum of positive squares in 16 ways, for example, as 1906652825856 + 18304347176164 = 1380816^2 + 4278358^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 20211000001988 and 20211000002006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29519326 + ... + 30196234.

It is an arithmetic number, because the mean of its divisors is an integer number (472275707085).

Almost surely, 220211000002020 is an apocalyptic number.

20211000002020 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 20211000002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22669233940080).

20211000002020 is an abundant number, since it is smaller than the sum of its proper divisors (25127467878140).

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

20211000002020 is a wasteful number, since it uses less digits than its factorization.

20211000002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677713 (or 677711 counting only the distinct ones).

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

Adding to 20211000002020 its reverse (2020000011202), we get a palindrome (22231000013222).

The spelling of 20211000002020 in words is "twenty trillion, two hundred eleven billion, two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 137 170 274 340 548 641 685 1282 1370 2329 2564 2740 3205 4658 6410 9316 10897 11645 12820 21794 23290 43588 46580 54485 87817 108970 175634 217940 351268 439085 676909 878170 1353818 1492889 1756340 2707636 2985778 3384545 5971556 6769090 7464445 11507453 13538180 14928890 23014906 29857780 46029812 57537265 92736533 115074530 185473066 230149060 370946132 433898669 463682665 867797338 927365330 1576521061 1735594676 1854730660 2169493345 3153042122 4338986690 6306084244 7376277373 7882605305 8677973380 14752554746 15765210610 29505109492 31530421220 36881386865 59444117653 73762773730 118888235306 147525547460 237776470612 297220588265 594441176530 1010550000101 1188882353060 2021100000202 4042200000404 5052750000505 10105500001010 20211000002020