Search a number
-
+
222112001200100 = 2252111738473087509
BaseRepresentation
bin110010100000001001111010…
…111011101000111111100100
31002010102200220020221220000112
4302200021322323220333210
5213103040334301400400
62104220502243032152
764533030306335534
oct6240117273507744
91063380806856015
10222112001200100
1164854197258560
1220ab296396b658
1396c20c1aab53b
143cbc3c76034c4
151aa2999a48835
hexca027aee8fe4

222112001200100 has 144 divisors (see below), whose sum is σ = 556873974034560. Its totient is φ = 75997156915200.

The previous prime is 222112001200079. The next prime is 222112001200129. The reversal of 222112001200100 is 1002100211222.

It is a super-2 number, since 2×2221120012001002 (a number of 29 digits) contains 22 as substring.

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, 70395146 + ... + 73482654.

It is an arithmetic number, because the mean of its divisors is an integer number (3867180375240).

Almost surely, 2222112001200100 is an apocalyptic number.

222112001200100 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 222112001200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278436987017280).

222112001200100 is an abundant number, since it is smaller than the sum of its proper divisors (334761972834460).

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

222112001200100 is a wasteful number, since it uses less digits than its factorization.

222112001200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091398 (or 3091391 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 222112001200100 its reverse (1002100211222), we get a palindrome (223114101411322).

The spelling of 222112001200100 in words is "two hundred twenty-two trillion, one hundred twelve billion, one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 3847 4675 7694 9350 15388 18700 19235 38470 42317 65399 76940 84634 96175 130798 169268 192350 211585 261596 326995 384700 423170 653990 719389 846340 1057925 1307980 1438778 1634975 2115850 2877556 3087509 3269950 3596945 4231700 6175018 6539900 7193890 12350036 14387780 15437545 17984725 30875090 33962599 35969450 52487653 61750180 67925198 71938900 77187725 104975306 135850396 154375450 169812995 209950612 262438265 308750900 339625990 524876530 577364183 679251980 849064975 1049753060 1154728366 1312191325 1698129950 2309456732 2624382650 2886820915 3396259900 5248765300 5773641830 11547283660 11877647123 14434104575 23755294246 28868209150 47510588492 57736418300 59388235615 118776471230 130654118353 201920001091 237552942460 261308236706 296941178075 403840002182 522616473412 593882356150 653270591765 807680004364 1009600005455 1187764712300 1306541183530 2019200010910 2221120012001 2613082367060 3266352958825 4038400021820 4442240024002 5048000027275 6532705917650 8884480048004 10096000054550 11105600060005 13065411835300 20192000109100 22211200120010 44422400240020 55528000300025 111056000600050 222112001200100