Search a number
-
+
2130110302100 = 22521163110632887
BaseRepresentation
bin11110111111110100011…
…101111100011110010100
321112122012001100000121212
4132333310131330132110
5234344431214131400
64310320440200552
7306616055552624
oct36776435743624
97478161300555
102130110302100
11751413808580
122a49b5769158
13125b3a248901
147515286c884
153a62087d335
hex1eff477c794

2130110302100 has 144 divisors (see below), whose sum is σ = 5057045661696. Its totient is φ = 772362864000.

The previous prime is 2130110302093. The next prime is 2130110302171. The reversal of 2130110302100 is 12030110312.

It is a super-2 number, since 2×21301103021002 (a number of 25 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, 737826857 + ... + 737829743.

Almost surely, 22130110302100 is an apocalyptic number.

2130110302100 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 2130110302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528522830848).

2130110302100 is an abundant number, since it is smaller than the sum of its proper divisors (2926935359596).

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

2130110302100 is a wasteful number, since it uses less digits than its factorization.

2130110302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606 (or 4599 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 2130110302100 its reverse (12030110312), we get a palindrome (2142140412412).

The spelling of 2130110302100 in words is "two trillion, one hundred thirty billion, one hundred ten million, three hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 631 1063 1100 1262 2126 2524 2887 3155 4252 5315 5774 6310 6941 10630 11548 11693 12620 13882 14435 15775 21260 23386 26575 27764 28870 31550 31757 34705 46772 53150 57740 58465 63100 63514 69410 72175 106300 116930 127028 138820 144350 158785 173525 233860 288700 292325 317570 347050 584650 635140 670753 694100 793925 1169300 1341506 1587850 1821697 2683012 3068881 3175700 3353765 3643394 6137762 6707530 7286788 7378283 9108485 12275524 13415060 14756566 15344405 16768825 18216970 20038667 29513132 30688810 33537650 33757691 36433940 36891415 40077334 45542425 61377620 67075300 67515382 73782830 76722025 80154668 91084850 100193335 135030764 147565660 153444050 168788455 182169700 184457075 200386670 306888100 337576910 368914150 400773340 500966675 675153820 737828300 843942275 1001933350 1687884550 1936463911 2003866700 3375769100 3872927822 7745855644 9682319555 19364639110 21301103021 38729278220 42602206042 48411597775 85204412084 96823195550 106505515105 193646391100 213011030210 426022060420 532527575525 1065055151050 2130110302100