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201120102122220 = 22325109294043759
BaseRepresentation
bin101101101110101011101100…
…001111101000001011101100
3222101002220010201101102220100
4231232223230033220023230
5202330122432120402340
61551425144401151100
760235306422260421
oct5556535417501354
9871086121342810
10201120102122220
11590a0613504296
121a68250b32b490
13882b70c949518
14379439cb97d48
15183b8de72e830
hexb6eaec3e82ec

201120102122220 has 108 divisors (see below), whose sum is σ = 615712584483360. Its totient is φ = 53139989720448.

The previous prime is 201120102122197. The next prime is 201120102122249. The reversal of 201120102122220 is 22221201021102.

It is a happy number.

201120102122220 is a `hidden beast` number, since 20 + 11 + 201 + 0 + 212 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201120102122193 and 201120102122202.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44883300 + ... + 49160459.

It is an arithmetic number, because the mean of its divisors is an integer number (5701042448920).

Almost surely, 2201120102122220 is an apocalyptic number.

201120102122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201120102122220 is an abundant number, since it is smaller than the sum of its proper divisors (414592482361140).

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

201120102122220 is a wasteful number, since it uses less digits than its factorization.

201120102122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94043992 (or 94043878 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201120102122220 its reverse (22221201021102), we get a palindrome (223341303143322).

The spelling of 201120102122220 in words is "two hundred one trillion, one hundred twenty billion, one hundred two million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2180 3270 3924 4905 6540 9810 11881 19620 23762 35643 47524 59405 71286 106929 118810 142572 178215 213858 237620 356430 427716 534645 712860 1069290 2138580 94043759 188087518 282131277 376175036 470218795 564262554 846393831 940437590 1128525108 1410656385 1692787662 1880875180 2821312770 3385575324 4231969155 5642625540 8463938310 10250769731 16927876620 20501539462 30752309193 41003078924 51253848655 61504618386 92256927579 102507697310 123009236772 153761545965 184513855158 205015394620 307523091930 369027710316 461284637895 615046183860 922569275790 1117333900679 1845138551580 2234667801358 3352001702037 4469335602716 5586669503395 6704003404074 10056005106111 11173339006790 13408006808148 16760008510185 20112010212222 22346678013580 33520017020370 40224020424444 50280025530555 67040034040740 100560051061110 201120102122220