Search a number
-
+
200102222020120 = 235717139302433683
BaseRepresentation
bin101101011111110111101101…
…110111001011111000011000
3222020111120210220101201101121
4231133313231313023320120
5202211433322314120440
61545325405230055024
760101623413204010
oct5537675567137030
9866446726351347
10200102222020120
115883896a749012
121a53919934a474
13878673523ca14
14375addbc14c40
1518201b83e534a
hexb5fdeddcbe18

200102222020120 has 128 divisors (see below), whose sum is σ = 548735676249600. Its totient is φ = 64106262706176.

The previous prime is 200102222020061. The next prime is 200102222020177. The reversal of 200102222020120 is 21020222201002.

It is a junction number, because it is equal to n+sod(n) for n = 200102222020094 and 200102222020103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150555202 + ... + 151878481.

It is an arithmetic number, because the mean of its divisors is an integer number (4286997470700).

Almost surely, 2200102222020120 is an apocalyptic number.

200102222020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200102222020120 is an abundant number, since it is smaller than the sum of its proper divisors (348633454229480).

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

200102222020120 is a wasteful number, since it uses less digits than its factorization.

200102222020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302433857 (or 302433853 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 200102222020120 its reverse (21020222201002), we get a palindrome (221122444221122).

The spelling of 200102222020120 in words is "two hundred trillion, one hundred two billion, two hundred twenty-two million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 139 140 170 238 278 280 340 476 556 595 680 695 952 973 1112 1190 1390 1946 2363 2380 2780 3892 4726 4760 4865 5560 7784 9452 9730 11815 16541 18904 19460 23630 33082 38920 47260 66164 82705 94520 132328 165410 330820 661640 302433683 604867366 1209734732 1512168415 2117035781 2419469464 3024336830 4234071562 5141372611 6048673660 8468143124 10282745222 10585178905 12097347320 16936286248 20565490444 21170357810 25706863055 35989608277 41130980888 42038281937 42340715620 51413726110 71979216554 84076563874 84681431240 102827452220 143958433108 168153127748 179948041385 205654904440 210191409685 287916866216 294267973559 336306255496 359896082770 420382819370 588535947118 714650792929 719792165540 840765638740 1177071894236 1429301585858 1439584331080 1471339867795 1681531277480 2354143788472 2858603171716 2942679735590 3573253964645 5002555550503 5717206343432 5885359471180 7146507929290 10005111101006 11770718942360 14293015858580 20010222202012 25012777752515 28586031717160 40020444404024 50025555505030 100051111010060 200102222020120