Search a number
-
+
201201120200 = 23521193843257
BaseRepresentation
bin1011101101100010000…
…1010111001111001000
3201020100001101220122202
42323120201113033020
511244024441321300
6232232554135332
720351644206113
oct2733041271710
9636301356582
10201201120200
1178368872623
1232bb1a21548
1315c861164a2
149a4982357a
155378b31ad5
hex2ed88573c8

201201120200 has 48 divisors (see below), whose sum is σ = 468185274180. Its totient is φ = 80412892160.

The previous prime is 201201120173. The next prime is 201201120251. The reversal of 201201120200 is 2021102102.

It is a happy number.

201201120200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 42719102596 + 158482017604 = 206686^2 + 398098^2 .

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 11 ways as a sum of consecutive naturals, for example, 183029 + ... + 660228.

Almost surely, 2201201120200 is an apocalyptic number.

201201120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201201120200 is an abundant number, since it is smaller than the sum of its proper divisors (266984153980).

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

201201120200 is a wasteful number, since it uses less digits than its factorization.

201201120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844466 (or 844457 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201201120200 its reverse (2021102102), we get a palindrome (203222222302).

The spelling of 201201120200 in words is "two hundred one billion, two hundred one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1193 2386 4772 5965 9544 11930 23860 29825 47720 59650 119300 238600 843257 1686514 3373028 4216285 6746056 8432570 16865140 21081425 33730280 42162850 84325700 168651400 1006005601 2012011202 4024022404 5030028005 8048044808 10060056010 20120112020 25150140025 40240224040 50300280050 100600560100 201201120200