Search a number
-
+
201120120220212 = 2232101389787318061
BaseRepresentation
bin101101101110101011101101…
…010100101010101000110100
3222101002220011222102220200100
4231232223231110222220310
5202330123001234021322
61551425150245114100
760235310032145304
oct5556535524525064
9871086158386610
10201120120220212
11590a0622745606
121a6825153b8930
13882b713614cab
1437943a1349604
15183b8e1106dac
hexb6eaed52aa34

201120120220212 has 144 divisors (see below), whose sum is σ = 514834236156240. Its totient is φ = 66193569792000.

The previous prime is 201120120220163. The next prime is 201120120220289. The reversal of 201120120220212 is 212022021021102.

It is a happy number.

201120120220212 is a `hidden beast` number, since 2 + 0 + 11 + 201 + 20 + 220 + 212 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 55774379556 + 201064345840656 = 236166^2 + 14179716^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11135593662 + ... + 11135611722.

It is an arithmetic number, because the mean of its divisors is an integer number (3575237751085).

Almost surely, 2201120120220212 is an apocalyptic number.

It is an amenable number.

201120120220212 is an abundant number, since it is smaller than the sum of its proper divisors (313714115936028).

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

201120120220212 is a wasteful number, since it uses less digits than its factorization.

201120120220212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26434 (or 26429 counting only the distinct ones).

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

Adding to 201120120220212 its reverse (212022021021102), we get a palindrome (413142141241314).

The spelling of 201120120220212 in words is "two hundred one trillion, one hundred twenty billion, one hundred twenty million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 389 404 606 778 909 1167 1212 1556 1818 2334 3501 3636 4668 7002 7873 14004 15746 18061 23619 31492 36122 39289 47238 54183 70857 72244 78578 94476 108366 117867 141714 157156 162549 216732 235734 283428 325098 353601 471468 650196 707202 795173 1414404 1590346 1824161 2385519 3062597 3180692 3648322 4771038 5472483 6125194 7025729 7156557 7296644 9187791 9542076 10944966 12250388 14051458 14313114 16417449 18375582 21077187 21889932 27563373 28102916 28626228 32834898 36751164 42154374 55126746 63231561 65669796 84308748 110253492 126463122 142194253 252926244 284388506 309322297 426582759 568777012 618644594 709598629 853165518 927966891 1237289188 1279748277 1419197258 1706331036 1855933782 2128795887 2559496554 2783900673 2838394516 3711867564 4257591774 5118993108 5567801346 6386387661 8515183548 11135602692 12772775322 14361619553 25545550644 28723239106 43084858659 55313564417 57446478212 86169717318 110627128834 129254575977 165940693251 172339434636 221254257668 258509151954 331881386502 497822079753 517018303908 663762773004 995644159506 1991288319012 5586670006117 11173340012234 16760010018351 22346680024468 33520020036702 50280030055053 67040040073404 100560060110106 201120120220212