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1002221112200 = 235271165079293
BaseRepresentation
bin11101001010110010000…
…10001000101110001000
310112210220111211121121212
432211121002020232020
5112410022101042300
62044225232352252
7132256654615550
oct16453102105610
93483814747555
101002221112200
11357048765410
121422a19a5688
13736804ac909
143671741c160
151b10b753935
hexe959088b88

1002221112200 has 96 divisors (see below), whose sum is σ = 2905139684160. Its totient is φ = 312380601600.

The previous prime is 1002221112187. The next prime is 1002221112281. The reversal of 1002221112200 is 22111222001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32524247 + ... + 32555046.

It is an arithmetic number, because the mean of its divisors is an integer number (30261871710).

Almost surely, 21002221112200 is an apocalyptic number.

1002221112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002221112200 is an abundant number, since it is smaller than the sum of its proper divisors (1902918571960).

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

1002221112200 is a wasteful number, since it uses less digits than its factorization.

1002221112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65079327 (or 65079318 counting only the distinct ones).

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

Adding to 1002221112200 its reverse (22111222001), we get a palindrome (1024332334201).

The spelling of 1002221112200 in words is "one trillion, two billion, two hundred twenty-one million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 15400 65079293 130158586 260317172 325396465 455555051 520634344 650792930 715872223 911110102 1301585860 1431744446 1626982325 1822220204 2277775255 2603171720 2863488892 3253964650 3579361115 3644440408 4555550510 5011105561 5726977784 6507929300 7158722230 9111101020 10022211122 11388876275 13015858600 14317444460 17896805575 18222202040 20044422244 22777752550 25055527805 28634888920 35793611150 40088844488 45555505100 50111055610 71587222300 91111010200 100222111220 125277639025 143174444600 200444222440 250555278050 501110556100 1002221112200