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201122120303 = 131747109349509
BaseRepresentation
bin1011101101001111010…
…0000000001001101111
3201020010112202022011122
42323103310000021233
511243344230322203
6232221053011155
720346664546526
oct2732364001157
9636115668148
10201122120303
1178328214855
1232b8b483abb
1315c729463a0
149a3d13b4bd
155371c29538
hex2ed3d0026f

201122120303 has 64 divisors (see below), whose sum is σ = 237504960000. Its totient is φ = 168626479104.

The previous prime is 201122120263. The next prime is 201122120317. The reversal of 201122120303 is 303021221102.

201122120303 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 201122120303 - 26 = 201122120239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122120803) 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 63 ways as a sum of consecutive naturals, for example, 395131613 + ... + 395132121.

It is an arithmetic number, because the mean of its divisors is an integer number (3711015000).

Almost surely, 2201122120303 is an apocalyptic number.

201122120303 is a deficient number, since it is larger than the sum of its proper divisors (36382839697).

201122120303 is a wasteful number, since it uses less digits than its factorization.

201122120303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 201122120303 its reverse (303021221102), we get a palindrome (504143341405).

The spelling of 201122120303 in words is "two hundred one billion, one hundred twenty-two million, one hundred twenty thousand, three hundred three".

Divisors: 1 13 17 47 109 221 349 509 611 799 1417 1853 4537 5123 5933 6617 8653 10387 16403 23923 24089 38041 55481 66599 77129 87091 112489 177641 213239 278851 310999 406691 494533 646697 721253 943177 1132183 1787927 2309333 2607607 3019897 3625063 5286983 8349127 8407061 12261301 19362869 23243051 30394759 33898891 39258661 44329319 108538651 141935159 251717297 329168773 395131867 576281147 910054843 1845157067 4279194049 11830712959 15470932331 201122120303