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201120000000220 = 225712773205135099
BaseRepresentation
bin101101101110101011100110…
…001010000100000011011100
3222101002212212121020002212001
4231232223212022010003130
5202330122230000001340
61551425130312252044
760235304042246560
oct5556534612040334
9871085777202761
10201120000000220
11590a05708a3544
121a6824a10a1024
13882b6c4741bc2
14379438d3b36a0
15183b8d57ab29a
hexb6eae62840dc

201120000000220 has 96 divisors (see below), whose sum is σ = 483094821081600. Its totient is φ = 68897317843200.

The previous prime is 201120000000217. The next prime is 201120000000251. The reversal of 201120000000220 is 22000000021102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 201120000000197 and 201120000000206.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5730060231 + ... + 5730095329.

It is an arithmetic number, because the mean of its divisors is an integer number (5032237719600).

Almost surely, 2201120000000220 is an apocalyptic number.

201120000000220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201120000000220 is an abundant number, since it is smaller than the sum of its proper divisors (281974821081380).

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

201120000000220 is a wasteful number, since it uses less digits than its factorization.

201120000000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68443 (or 68441 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 201120000000220 its reverse (22000000021102), we get a palindrome (223120000021322).

The spelling of 201120000000220 in words is "two hundred one trillion, one hundred twenty billion, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1277 2554 5108 6385 8939 12770 17878 25540 32051 35099 35756 44695 64102 70198 89390 128204 140396 160255 175495 178780 224357 245693 320510 350990 448714 491386 641020 701980 897428 982772 1121785 1228465 2243570 2456930 4487140 4913860 40929127 44821423 81858254 89642846 163716508 179285692 204645635 224107115 286503889 313749961 409291270 448214230 573007778 627499922 818582540 896428460 1124958049 1146015556 1254999844 1432519445 1568749805 2249916098 2865038890 3137499610 4499832196 5624790245 5730077780 6274999220 7874706343 11249580490 15749412686 22499160980 31498825372 39373531715 78747063430 157494126860 1436571428573 2873142857146 5746285714292 7182857142865 10056000000011 14365714285730 20112000000022 28731428571460 40224000000044 50280000000055 100560000000110 201120000000220