Search a number
-
+
2200211002020 = 223561273134999
BaseRepresentation
bin100000000001000110110…
…010111001001010100100
321210100010111011112211010
4200001012302321022210
5242022013004031040
64402432445342220
7314650164641223
oct40010662711244
97710114145733
102200211002020
11779116829a19
122b64ba267970
1312c62c4c04c5
14786c29b8cba
153c374c30e80
hex20046cb92a4

2200211002020 has 144 divisors (see below), whose sum is σ = 6349084560000. Its totient is φ = 569194767360.

The previous prime is 2200211002019. The next prime is 2200211002027. The reversal of 2200211002020 is 202001120022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2200211001987 and 2200211002005.

It is not an unprimeable number, because it can be changed into a prime (2200211002027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16230481 + ... + 16365479.

It is an arithmetic number, because the mean of its divisors is an integer number (44090865000).

Almost surely, 22200211002020 is an apocalyptic number.

2200211002020 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 2200211002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174542280000).

2200211002020 is an abundant number, since it is smaller than the sum of its proper divisors (4148873557980).

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

2200211002020 is a wasteful number, since it uses less digits than its factorization.

2200211002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135206 (or 135143 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2200211002020 its reverse (202001120022), we get a palindrome (2402212122042).

The spelling of 2200211002020 in words is "two trillion, two hundred billion, two hundred eleven million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 73 122 146 183 219 244 292 305 365 366 438 610 730 732 876 915 1095 1220 1460 1830 2190 3660 3721 4380 4453 7442 8906 11163 13359 14884 17812 18605 22265 22326 26718 37210 44530 44652 53436 55815 66795 74420 89060 111630 133590 134999 223260 267180 269998 271633 404997 539996 543266 674995 809994 814899 1086532 1349990 1358165 1619988 1629798 2024985 2699980 2716330 3259596 4049970 4074495 5432660 8099940 8148990 8234939 9854927 16297980 16469878 19709854 24704817 29564781 32939756 39419708 41174695 49274635 49409634 59129562 82349390 98549270 98819268 118259124 123524085 147823905 164698780 197098540 247048170 295647810 494096340 502331279 591295620 601150547 1004662558 1202301094 1506993837 1803451641 2009325116 2404602188 2511656395 3005752735 3013987674 3606903282 5023312790 6011505470 6027975348 7213806564 7534969185 9017258205 10046625580 12023010940 15069938370 18034516410 30139876740 36069032820 36670183367 73340366734 110010550101 146680733468 183350916835 220021100202 366701833670 440042200404 550052750505 733403667340 1100105501010 2200211002020