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200020221100 = 225271097873331
BaseRepresentation
bin1011101001001000100…
…0100101110010101100
3201010021202100000122001
42322102020211302230
511234120134033400
6231515451302044
720310454553440
oct2722210456254
9633252300561
10200020221100
1177912222657
123292244a924
1315b2857c11b
149976a66820
15530a11aa6a
hex2e92225cac

200020221100 has 144 divisors (see below), whose sum is σ = 501387631360. Its totient is φ = 67842489600.

The previous prime is 200020221043. The next prime is 200020221131. The reversal of 200020221100 is 1122020002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60046435 + ... + 60049765.

Almost surely, 2200020221100 is an apocalyptic number.

200020221100 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 200020221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250693815680).

200020221100 is an abundant number, since it is smaller than the sum of its proper divisors (301367410260).

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

200020221100 is a wasteful number, since it uses less digits than its factorization.

200020221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4248 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200020221100 its reverse (1122020002), we get a palindrome (201142241102).

The spelling of 200020221100 in words is "two hundred billion, twenty million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 109 140 175 218 350 436 545 700 763 787 1090 1526 1574 2180 2725 3052 3148 3331 3815 3935 5450 5509 6662 7630 7870 10900 11018 13324 15260 15740 16655 19075 19675 22036 23317 27545 33310 38150 39350 46634 55090 66620 76300 78700 83275 85783 93268 110180 116585 137725 166550 171566 233170 275450 333100 343132 363079 428915 466340 550900 582925 600481 726158 857830 1165850 1200962 1452316 1715660 1815395 2144575 2331700 2401924 2541553 2621497 3002405 3630790 4289150 5083106 5242994 6004810 7261580 8578300 9076975 10166212 10485988 12009620 12707765 13107485 15012025 18153950 18350479 25415530 26214970 30024050 36307900 36700958 50831060 52429940 60048100 63538825 65537425 73401916 91752395 127077650 131074850 183504790 254155300 262149700 285743173 367009580 458761975 571486346 917523950 1142972692 1428715865 1835047900 2000202211 2857431730 4000404422 5714863460 7143579325 8000808844 10001011055 14287158650 20002022110 28574317300 40004044220 50005055275 100010110550 200020221100