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201220200112 = 241917311233407
BaseRepresentation
bin1011101101100110101…
…0001001011010110000
3201020101101022021101011
42323121222021122300
511244044332400422
6232234515120304
720352265323511
oct2733152113260
9636341267334
10201220200112
1178378614648
1232bb82a3094
1315c8a066b89
149a4c18ca08
15537a650077
hex2ed9a896b0

201220200112 has 80 divisors (see below), whose sum is σ = 413244264960. Its totient is φ = 94651704576.

The previous prime is 201220200067. The next prime is 201220200127. The reversal of 201220200112 is 211002022102.

It is a happy number.

201220200112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2012202001122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201220200092 and 201220200101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59059113 + ... + 59062519.

It is an arithmetic number, because the mean of its divisors is an integer number (5165553312).

Almost surely, 2201220200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201220200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206622132480).

201220200112 is an abundant number, since it is smaller than the sum of its proper divisors (212024064848).

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

201220200112 is a wasteful number, since it uses less digits than its factorization.

201220200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4730 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 201220200112 its reverse (211002022102), we get a palindrome (412222222214).

The spelling of 201220200112 in words is "two hundred one billion, two hundred twenty million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 152 173 304 346 692 1123 1384 2246 2768 3287 3407 4492 6574 6814 8984 13148 13628 17968 21337 26296 27256 42674 52592 54512 64733 85348 129466 170696 194279 258932 341392 388558 517864 589411 777116 1035728 1178822 1554232 2357644 3108464 3691301 3826061 4715288 7382602 7652122 9430576 11198809 14765204 15304244 22397618 29530408 30608488 44795236 59060816 61216976 72695159 89590472 145390318 179180944 290780636 581561272 661908553 1163122544 1323817106 2647634212 5295268424 10590536848 12576262507 25152525014 50305050028 100610100056 201220200112