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2120332120300 = 2252296137731543
BaseRepresentation
bin11110110110101101101…
…001001001000011101100
321111200221120221220212101
4132312231221021003230
5234214420010322200
64302022255544444
7306121543436152
oct36665551110354
97450846856771
102120332120300
11748256228899
122a2b26b2b124
13124c3c4b4614
14748a5d6b3d2
153a24c1d926a
hex1edada490ec

2120332120300 has 144 divisors (see below), whose sum is σ = 4776806139840. Its totient is φ = 815964226560.

The previous prime is 2120332120279. The next prime is 2120332120307. The reversal of 2120332120300 is 30212330212.

It is not an unprimeable number, because it can be changed into a prime (2120332120307) 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, 1374161329 + ... + 1374162871.

It is an arithmetic number, because the mean of its divisors is an integer number (33172264860).

Almost surely, 22120332120300 is an apocalyptic number.

2120332120300 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 2120332120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388403069920).

2120332120300 is an abundant number, since it is smaller than the sum of its proper divisors (2656474019540).

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

2120332120300 is a wasteful number, since it uses less digits than its factorization.

2120332120300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2120332120300 its reverse (30212330212), we get a palindrome (2150544450512).

The spelling of 2120332120300 in words is "two trillion, one hundred twenty billion, three hundred thirty-two million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 613 725 773 1226 1450 1543 1546 2452 2900 3065 3086 3092 3865 6130 6172 7715 7730 12260 15325 15430 15460 17777 19325 22417 30650 30860 35554 38575 38650 44747 44834 61300 71108 77150 77300 88885 89494 89668 112085 154300 177770 178988 223735 224170 355540 444425 447470 448340 473849 560425 888850 894940 945859 947698 1118675 1120850 1192739 1777700 1891718 1895396 2237350 2241700 2369245 2385478 3783436 4474700 4729295 4738490 4770956 5963695 9458590 9476980 11846225 11927390 13741621 18917180 23646475 23692450 23854780 27429911 27483242 29818475 34589431 47292950 47384900 54859822 54966484 59636950 68708105 69178862 94585900 109719644 119273900 137149555 137416210 138357724 172947155 274299110 274832420 343540525 345894310 548598220 685747775 687081050 691788620 731149007 864735775 1371495550 1374162100 1462298014 1729471550 2742991100 2924596028 3458943100 3655745035 7311490070 14622980140 18278725175 21203321203 36557450350 42406642406 73114900700 84813284812 106016606015 212033212030 424066424060 530083030075 1060166060150 2120332120300