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201122001122220 = 223253730198498667
BaseRepresentation
bin101101101110101101011101…
…011011101111001110101100
3222101010002001001200122011200
4231232231131123233032230
5202330140324241402340
61551430101035245500
760235404451433523
oct5556553533571654
9871102031618150
10201122001122220
11590a13a8437082
121a68295b2a9890
13882b9531bcb69
1437944dd0814ba
15183b9a12e1330
hexb6eb5d6ef3ac

201122001122220 has 72 divisors (see below), whose sum is σ = 626558450363664. Its totient is φ = 52183005694848.

The previous prime is 201122001122219. The next prime is 201122001122311. The reversal of 201122001122220 is 22221100221102.

It is a happy number.

201122001122220 is a `hidden beast` number, since 20 + 112 + 200 + 112 + 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 = 201122001122193 and 201122001122202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15099242674 + ... + 15099255993.

Almost surely, 2201122001122220 is an apocalyptic number.

201122001122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122001122220 is an abundant number, since it is smaller than the sum of its proper divisors (425436449241444).

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

201122001122220 is a wasteful number, since it uses less digits than its factorization.

201122001122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30198498719 (or 30198498714 counting only the distinct ones).

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

Adding to 201122001122220 its reverse (22221100221102), we get a palindrome (223343101343322).

The spelling of 201122001122220 in words is "two hundred one trillion, one hundred twenty-two billion, one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 30198498667 60396997334 90595496001 120793994668 150992493335 181190992002 271786488003 301984986670 362381984004 452977480005 543572976006 603969973340 905954960010 1087145952012 1117344450679 1358932440015 1811909920020 2234688901358 2717864880030 3352033352037 4469377802716 5435729760060 5586722253395 6704066704074 10056100056111 11173444506790 13408133408148 16760166760185 20112200112222 22346889013580 33520333520370 40224400224444 50280500280555 67040667040740 100561000561110 201122001122220