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20110011201120 = 2535172464462157
BaseRepresentation
bin1001001001010001110100…
…00100101111011001100000
32122012111110020221120002010
410210220322010233121200
510113440300331413440
6110434224523552520
74143620552553441
oct444507204573140
978174406846063
1020110011201120
116453676068775
12230955608b740
13b2b49ac03109
144d7488b192c8
1524d192e42580
hex124a3a12f660

20110011201120 has 96 divisors (see below), whose sum is σ = 67072802092128. Its totient is φ = 5047218495488.

The previous prime is 20110011201107. The next prime is 20110011201127. The reversal of 20110011201120 is 2110211001102.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 20110011201096 and 20110011201105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110011201127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1232222919 + ... + 1232239238.

It is an arithmetic number, because the mean of its divisors is an integer number (698675021793).

Almost surely, 220110011201120 is an apocalyptic number.

20110011201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110011201120 is an abundant number, since it is smaller than the sum of its proper divisors (46962790891008).

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

20110011201120 is a wasteful number, since it uses less digits than its factorization.

20110011201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464462192 (or 2464462184 counting only the distinct ones).

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

Adding to 20110011201120 its reverse (2110211001102), we get a palindrome (22220222202222).

The spelling of 20110011201120 in words is "twenty trillion, one hundred ten billion, eleven million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 2464462157 4928924314 7393386471 9857848628 12322310785 14786772942 19715697256 24644621570 29573545884 36966932355 39431394512 41895856669 49289243140 59147091768 73933864710 78862789024 83791713338 98578486280 118294183536 125687570007 147867729420 167583426676 197156972560 209479283345 236588367072 251375140014 295735458840 335166853352 394313945120 418958566690 502750280028 591470917680 628437850035 670333706704 837917133380 1005500560056 1182941835360 1256875700070 1340667413408 1675834266760 2011001120112 2513751400140 3351668533520 4022002240224 5027502800280 6703337067040 10055005600560 20110011201120