Search a number
-
+
2131130210220 = 22325111277842857
BaseRepresentation
bin11111000000110001010…
…000100101011110101100
321112201211010110201112200
4133000301100211132230
5234404023313211340
64311005552301500
7306653251620654
oct37006120453654
97481733421480
102131130210220
11751897499650
122a503b241890
13125c7063643b
147520c0bd364
153a680193330
hex1f0314257ac

2131130210220 has 144 divisors (see below), whose sum is σ = 7057634377248. Its totient is φ = 516232442880.

The previous prime is 2131130210207. The next prime is 2131130210249. The reversal of 2131130210220 is 220120311312.

2131130210220 is a `hidden beast` number, since 2 + 131 + 1 + 302 + 10 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2131130210193 and 2131130210202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2107032 + ... + 2949888.

It is an arithmetic number, because the mean of its divisors is an integer number (49011349842).

Almost surely, 22131130210220 is an apocalyptic number.

2131130210220 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 2131130210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528817188624).

2131130210220 is an abundant number, since it is smaller than the sum of its proper divisors (4926504167028).

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

2131130210220 is a wasteful number, since it uses less digits than its factorization.

2131130210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844160 (or 844155 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2131130210220 its reverse (220120311312), we get a palindrome (2351250521532).

The spelling of 2131130210220 in words is "two trillion, one hundred thirty-one billion, one hundred thirty million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1277 1980 2554 3831 5108 6385 7662 11493 12770 14047 15324 19155 22986 25540 28094 38310 42141 45972 56188 57465 70235 76620 84282 114930 126423 140470 168564 210705 229860 252846 280940 421410 505692 632115 842820 842857 1264230 1685714 2528460 2528571 3371428 4214285 5057142 7585713 8428570 9271427 10114284 12642855 15171426 16857140 18542854 25285710 27814281 30342852 37085708 37928565 46357135 50571420 55628562 75857130 83442843 92714270 111257124 139071405 151714260 166885686 185428540 278142810 333771372 417214215 556285620 834428430 1076328389 1668856860 2152656778 3228985167 4305313556 5381641945 6457970334 9686955501 10763283890 11839612279 12915940668 16144925835 19373911002 21526567780 23679224558 32289851670 35518836837 38747822004 47358449116 48434777505 59198061395 64579703340 71037673674 96869555010 106556510511 118396122790 142075347348 177594184185 193739110020 213113021022 236792245580 355188368370 426226042044 532782552555 710376736740 1065565105110 2131130210220