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201110020102200 = 233521130471215167
BaseRepresentation
bin101101101110100010010011…
…010011110001100000111000
3222101001221010002021202110110
4231232202103103301200320
5202324441310121232300
61551420400124344320
760234501530440146
oct5556422323614070
9871057102252413
10201110020102200
115909730a469440
121a6805769a50a0
13882a793c723c1
143793ac3ba4596
15183b4ee56e550
hexb6e8934f1838

201110020102200 has 96 divisors (see below), whose sum is σ = 680117522549760. Its totient is φ = 48753944265600.

The previous prime is 201110020102171. The next prime is 201110020102253. The reversal of 201110020102200 is 2201020011102.

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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15235600984 + ... + 15235614183.

It is an arithmetic number, because the mean of its divisors is an integer number (7084557526560).

Almost surely, 2201110020102200 is an apocalyptic number.

201110020102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201110020102200 is an abundant number, since it is smaller than the sum of its proper divisors (479007502447560).

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

201110020102200 is a wasteful number, since it uses less digits than its factorization.

201110020102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30471215197 (or 30471215188 counting only the distinct ones).

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

Adding to 201110020102200 its reverse (2201020011102), we get a palindrome (203311040113302).

The spelling of 201110020102200 in words is "two hundred one trillion, one hundred ten billion, twenty million, one hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 30471215167 60942430334 91413645501 121884860668 152356075835 182827291002 243769721336 304712151670 335183366837 365654582004 457068227505 609424303340 670366733674 731309164008 761780379175 914136455010 1005550100511 1218848606680 1340733467348 1523560758350 1675916834185 1828272910020 2011100201022 2285341137525 2681466934696 3047121516700 3351833668370 3656545820040 4022200402044 4570682275050 5027750502555 6094243033400 6703667336740 8044400804088 8379584170925 9141364550100 10055501005110 13407334673480 16759168341850 18282729100200 20111002010220 25138752512775 33518336683700 40222004020440 50277505025550 67036673367400 100555010051100 201110020102200