Search a number
-
+
20200212330100 = 225211531093178783
BaseRepresentation
bin1001001011111001110100…
…11110101111011001110100
32122112010021112021200021221
410211330322132233121310
510121430013324030400
6110543503251120124
74153263043526035
oct445747236573164
978463245250257
1020200212330100
116488953272a60
122322b2a2a3044
13b36b445b650a
144db9a4610a8c
152506c1c9cc1a
hex125f3a7af674

20200212330100 has 144 divisors (see below), whose sum is σ = 49168668003840. Its totient is φ = 7140815884800.

The previous prime is 20200212330097. The next prime is 20200212330203. The reversal of 20200212330100 is 103321200202.

It is a super-2 number, since 2×202002123301002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4765309 + ... + 7944091.

It is an arithmetic number, because the mean of its divisors is an integer number (341449083360).

Almost surely, 220200212330100 is an apocalyptic number.

20200212330100 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 20200212330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24584334001920).

20200212330100 is an abundant number, since it is smaller than the sum of its proper divisors (28968455673740).

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

20200212330100 is a wasteful number, since it uses less digits than its factorization.

20200212330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178970 (or 3178963 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20200212330100 its reverse (103321200202), we get a palindrome (20303533530302).

The spelling of 20200212330100 in words is "twenty trillion, two hundred billion, two hundred twelve million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 53 55 100 106 109 110 212 218 220 265 275 436 530 545 550 583 1060 1090 1100 1166 1199 1325 2180 2332 2398 2650 2725 2915 4796 5300 5450 5777 5830 5995 10900 11554 11660 11990 14575 23108 23980 28885 29150 29975 57770 58300 59950 63547 115540 119900 127094 144425 254188 288850 317735 577700 635470 1270940 1588675 3177350 3178783 6354700 6357566 12715132 15893915 31787830 34966613 63575660 69933226 79469575 139866452 158939150 168475499 174833065 317878300 336950998 346487347 349666130 673901996 692974694 699332260 842377495 874165325 1385949388 1684754990 1732436735 1748330650 1853230489 3369509980 3464873470 3496661300 3706460978 3811360817 4211887475 6929746940 7412921956 7622721634 8423774950 8662183675 9266152445 15245443268 16847549900 17324367350 18363829391 18532304890 19056804085 34648734700 36727658782 37064609780 38113608170 46330762225 73455317564 76227216340 91819146955 92661524450 95284020425 183638293910 185323048900 190568040850 202002123301 367276587820 381136081700 404004246602 459095734775 808008493204 918191469550 1010010616505 1836382939100 2020021233010 4040042466020 5050053082525 10100106165050 20200212330100