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201111122100 = 223527195040379
BaseRepresentation
bin1011101101001100101…
…0000011000010110100
3201020002210001112110210
42323103022003002310
511243333421401400
6232220021145420
720346502222020
oct2732312030264
9636083045423
10201111122100
1178321a92729
1232b8785b270
1315c70595385
149a3b8b7380
155370ca5950
hex2ed32830b4

201111122100 has 144 divisors (see below), whose sum is σ = 700007974400. Its totient is φ = 43548865920.

The previous prime is 201111122071. The next prime is 201111122111. The reversal of 201111122100 is 1221111102.

It is a super-2 number, since 2×2011111221002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2480290 + ... + 2560089.

Almost surely, 2201111122100 is an apocalyptic number.

201111122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201111122100 is an abundant number, since it is smaller than the sum of its proper divisors (498896852300).

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

201111122100 is a wasteful number, since it uses less digits than its factorization.

201111122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5040422 (or 5040415 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201111122100 its reverse (1221111102), we get a palindrome (202332233202).

The spelling of 201111122100 in words is "two hundred one billion, one hundred eleven million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 57 60 70 75 76 84 95 100 105 114 133 140 150 175 190 210 228 266 285 300 350 380 399 420 475 525 532 570 665 700 798 950 1050 1140 1330 1425 1596 1900 1995 2100 2660 2850 3325 3990 5700 6650 7980 9975 13300 19950 39900 5040379 10080758 15121137 20161516 25201895 30242274 35282653 50403790 60484548 70565306 75605685 95767201 100807580 105847959 126009475 141130612 151211370 176413265 191534402 211695918 252018950 287301603 302422740 352826530 378028425 383068804 423391836 478836005 504037900 529239795 574603206 670370407 705653060 756056850 882066325 957672010 1058479590 1149206412 1340740814 1436508015 1512113700 1764132650 1915344020 2011111221 2116959180 2394180025 2646198975 2681481628 2873016030 3351852035 3528265300 4022222442 4788360050 5292397950 5746032060 6703704070 7182540075 8044444884 9576720100 10055556105 10584795900 13407408140 14365080150 16759260175 20111112210 28730160300 33518520350 40222224420 50277780525 67037040700 100555561050 201111122100