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200201000112 = 24332969156089
BaseRepresentation
bin1011101001110011101…
…0001101010010110000
3201010202100111112211000
42322130322031102300
511240002424000422
6231545430122000
720315111265111
oct2723472152260
9633670445730
10200201000112
11779a52775a3
1232972ab0300
1315b56b66759
149992a84208
15531ae29cac
hex2e9ce8d4b0

200201000112 has 80 divisors (see below), whose sum is σ = 574848252000. Its totient is φ = 66710762496.

The previous prime is 200201000101. The next prime is 200201000113. The reversal of 200201000112 is 211000102002.

200201000112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200201000094 and 200201000103.

It is not an unprimeable number, because it can be changed into a prime (200201000113) by changing a digit.

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, 1204564 + ... + 1360652.

It is an arithmetic number, because the mean of its divisors is an integer number (7185603150).

Almost surely, 2200201000112 is an apocalyptic number.

It is an amenable number.

200201000112 is an abundant number, since it is smaller than the sum of its proper divisors (374647251888).

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

200201000112 is a wasteful number, since it uses less digits than its factorization.

200201000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159075 (or 159063 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200201000112 its reverse (211000102002), we get a palindrome (411201102114).

The spelling of 200201000112 in words is "two hundred billion, two hundred one million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 2969 5938 8907 11876 17814 23752 26721 35628 47504 53442 71256 80163 106884 142512 156089 160326 213768 312178 320652 427536 468267 624356 641304 936534 1248712 1282608 1404801 1873068 2497424 2809602 3746136 4214403 5619204 7492272 8428806 11238408 16857612 22476816 33715224 67430448 463428241 926856482 1390284723 1853712964 2780569446 3707425928 4170854169 5561138892 7414851856 8341708338 11122277784 12512562507 16683416676 22244555568 25025125014 33366833352 50050250028 66733666704 100100500056 200201000112