Search a number
-
+
201122110002000 = 24353113047304697
BaseRepresentation
bin101101101110101101100011…
…111011000101001101010000
3222101010002022122120022011010
4231232231203323011031100
5202330141040130031000
61551430115525050520
760235410243051345
oct5556554373051520
9871102278508133
10201122110002000
11590a1453943070
121a68298b856a40
13882b96c922375
14379450d7047cc
15183b9aab4bd50
hexb6eb63ec5350

201122110002000 has 160 divisors (see below), whose sum is σ = 707364744937344. Its totient is φ = 48756875136000.

The previous prime is 201122110001999. The next prime is 201122110002017. The reversal of 201122110002000 is 200011221102.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1523586349 + ... + 1523718348.

Almost surely, 2201122110002000 is an apocalyptic number.

201122110002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122110002000 is an abundant number, since it is smaller than the sum of its proper divisors (506242634935344).

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

201122110002000 is a wasteful number, since it uses less digits than its factorization.

201122110002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047304734 (or 3047304718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201122110002000 its reverse (200011221102), we get a palindrome (201322121223102).

The spelling of 201122110002000 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred ten million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 3047304697 6094609394 9141914091 12189218788 15236523485 18283828182 24378437576 30473046970 33520351667 36567656364 45709570455 48756875152 60946093940 67040703334 73135312728 76182617425 91419140910 100561055001 121892187880 134081406668 146270625456 152365234850 167601758335 182838281820 201122110002 228547852275 243784375760 268162813336 304730469700 335203516670 365676563640 380913087125 402244220004 457095704550 502805275005 536325626672 609460939400 670407033340 731353127280 761826174250 804488440008 838008791675 914191409100 1005610550010 1142739261375 1218921878800 1340814066680 1523652348500 1608976880016 1676017583350 1828382818200 2011221100020 2285478522750 2514026375025 2681628133360 3047304697000 3352035166700 3656765636400 4022442200040 4190043958375 4570957045500 5028052750050 6094609394000 6704070333400 8044884400080 8380087916750 9141914091000 10056105500100 12570131875125 13408140666800 16760175833500 18283828182000 20112211000200 25140263750250 33520351667000 40224422000400 50280527500500 67040703334000 100561055001000 201122110002000