Search a number
-
+
20002210011120 = 24351071934035763
BaseRepresentation
bin1001000110001001000001…
…00111110101011111110000
32121211012012101222200222110
410203010200213311133300
510110204011230323440
6110312515522205320
74133053260554661
oct443044047653760
977735171880873
1020002210011120
116411987105107
1222b068b7b3840
13b2127b10c01c
144d217d983368
1524a483dce080
hex1231209f57f0

20002210011120 has 160 divisors (see below), whose sum is σ = 62910651532032. Its totient is φ = 5256693006336.

The previous prime is 20002210011107. The next prime is 20002210011167. The reversal of 20002210011120 is 2111001220002.

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 = 20002210011096 and 20002210011105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2938359 + ... + 6974121.

Almost surely, 220002210011120 is an apocalyptic number.

20002210011120 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 20002210011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31455325766016).

20002210011120 is an abundant number, since it is smaller than the sum of its proper divisors (42908441520912).

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

20002210011120 is a wasteful number, since it uses less digits than its factorization.

20002210011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036079 (or 4036073 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20002210011120 its reverse (2111001220002), we get a palindrome (22113211231122).

The spelling of 20002210011120 in words is "twenty trillion, two billion, two hundred ten million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 193 214 240 321 386 428 535 579 642 772 856 965 1070 1158 1284 1544 1605 1712 1930 2140 2316 2568 2895 3088 3210 3860 4280 4632 5136 5790 6420 7720 8560 9264 11580 12840 15440 20651 23160 25680 41302 46320 61953 82604 103255 123906 165208 206510 247812 309765 330416 413020 495624 619530 826040 991248 1239060 1652080 2478120 4035763 4956240 8071526 12107289 16143052 20178815 24214578 32286104 40357630 48429156 60536445 64572208 80715260 96858312 121072890 161430520 193716624 242145780 322861040 431826641 484291560 778902259 863653282 968583120 1295479923 1557804518 1727306564 2159133205 2336706777 2590959846 3115609036 3454613128 3894511295 4318266410 4673413554 5181919692 6231218072 6477399615 6909226256 7789022590 8636532820 9346827108 10363839384 11683533885 12462436144 12954799230 15578045180 17273065640 18693654216 20727678768 23367067770 25909598460 31156090360 34546131280 37387308432 46734135540 51819196920 62312180720 83342541713 93468271080 103638393840 166685083426 186936542160 250027625139 333370166852 416712708565 500055250278 666740333704 833425417130 1000110500556 1250138125695 1333480667408 1666850834260 2000221001112 2500276251390 3333701668520 4000442002224 5000552502780 6667403337040 10001105005560 20002210011120