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201122110120 = 23517417213849
BaseRepresentation
bin1011101101001111001…
…1111101101010101000
3201020010112201210012111
42323103303331222220
511243344230010440
6232221052452104
720346664505041
oct2732363755250
9636115653174
10201122110120
1178328208138
1232b8b47a034
1315c72941869
149a3d1378c8
155371c264ea
hex2ed3cfdaa8

201122110120 has 64 divisors (see below), whose sum is σ = 490830354000. Its totient is φ = 73869803520.

The previous prime is 201122110081. The next prime is 201122110139. The reversal of 201122110120 is 21011221102.

It can be written as a sum of positive squares in 8 ways, for example, as 132596483044 + 68525627076 = 364138^2 + 261774^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 201122110120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3579045 + ... + 3634804.

Almost surely, 2201122110120 is an apocalyptic number.

201122110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122110120 is an abundant number, since it is smaller than the sum of its proper divisors (289708243880).

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

201122110120 is a wasteful number, since it uses less digits than its factorization.

201122110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7213918 (or 7213914 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201122110120 its reverse (21011221102), we get a palindrome (222133331222).

The spelling of 201122110120 in words is "two hundred one billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 205 328 340 410 680 697 820 1394 1640 2788 3485 5576 6970 13940 27880 7213849 14427698 28855396 36069245 57710792 72138490 122635433 144276980 245270866 288553960 295767809 490541732 591535618 613177165 981083464 1183071236 1226354330 1478839045 2366142472 2452708660 2957678090 4905417320 5028052753 5915356180 10056105506 11830712360 20112211012 25140263765 40224422024 50280527530 100561055060 201122110120