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200332231101 = 342953297313
BaseRepresentation
bin1011101010010010111…
…0110100000110111101
3201011002111102202220000
42322210232310012331
511240240022343401
6232010434544513
720321263603542
oct2724456640675
9634074382800
10200332231101
1177a6235a362
12329aaa38139
1315b780c3622
1499a6284bc9
1553276ed186
hex2ea4bb41bd

200332231101 has 120 divisors (see below), whose sum is σ = 319803856680. Its totient is φ = 124812140544.

The previous prime is 200332231091. The next prime is 200332231109. The reversal of 200332231101 is 101132233002.

200332231101 is a `hidden beast` number, since 2 + 0 + 0 + 332 + 231 + 101 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 51189515001 + 149142716100 = 226251^2 + 386190^2 .

It is not a de Polignac number, because 200332231101 - 215 = 200332198333 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200332231109) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 640038921 + ... + 640039233.

It is an arithmetic number, because the mean of its divisors is an integer number (2665032139).

Almost surely, 2200332231101 is an apocalyptic number.

It is an amenable number.

200332231101 is a deficient number, since it is larger than the sum of its proper divisors (119471625579).

200332231101 is an equidigital number, since it uses as much as digits as its factorization.

200332231101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 200332231101 its reverse (101132233002), we get a palindrome (301464464103).

The spelling of 200332231101 in words is "two hundred billion, three hundred thirty-two million, two hundred thirty-one thousand, one hundred one".

Divisors: 1 3 9 27 29 53 81 87 97 159 261 291 313 477 783 873 939 1431 1537 2349 2619 2809 2813 2817 4293 4611 5141 7857 8427 8439 8451 9077 13833 15423 16589 25281 25317 25353 27231 30361 41499 46269 49767 75843 75951 81461 81693 91083 124497 138807 149089 149301 227529 227853 244383 245079 272473 273249 416421 447267 447903 481081 733149 735237 817419 819747 879217 880469 1341801 1343709 1443243 1609133 2199447 2452257 2459241 2637651 2641407 4025403 4329729 4827399 6598341 7356771 7901717 7912953 7924221 12076209 12989187 14482197 22070313 23705151 23738859 23772663 25497293 38967561 43446591 46664857 71115453 71216577 71317989 76491879 85284049 130339773 139994571 213346359 229475637 255852147 419983713 640039077 688426911 767556441 1259951139 2065280733 2302669323 2473237421 3779853417 6908007969 7419712263 22259136789 66777410367 200332231101