Search a number
-
+
110020220212212 = 2232471011181545131
BaseRepresentation
bin11001000001000000010100…
…001001001101001111110100
3112102112211102022102222201200
4121001000110021031033310
5103410032402333242322
61025554331425052500
732113461422502552
oct3101002411151764
9472484368388650
10110020220212212
113206834a0a7982
121040a7a5187130
134950b2948c27b
141d2501558abd2
15cabd2997b8ac
hex64101424d3f4

110020220212212 has 144 divisors (see below), whose sum is σ = 287079350148864. Its totient is φ = 35507587680000.

The previous prime is 110020220212207. The next prime is 110020220212219. The reversal of 110020220212212 is 212212022020011.

It is a happy number.

110020220212212 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 20 + 220 + 212 + 212 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110020220212219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201550887 + ... + 202096017.

It is an arithmetic number, because the mean of its divisors is an integer number (1993606598256).

Almost surely, 2110020220212212 is an apocalyptic number.

110020220212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110020220212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143539675074432).

110020220212212 is an abundant number, since it is smaller than the sum of its proper divisors (177059129936652).

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

110020220212212 is a wasteful number, since it uses less digits than its factorization.

110020220212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546470 (or 546465 counting only the distinct ones).

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

Adding to 110020220212212 its reverse (212212022020011), we get a palindrome (322232242232223).

The spelling of 110020220212212 in words is "one hundred ten trillion, twenty billion, two hundred twenty million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 101 141 188 202 282 303 404 423 564 606 846 909 1181 1212 1692 1818 2362 3543 3636 4724 4747 7086 9494 10629 14172 14241 18988 21258 28482 42516 42723 55507 56964 85446 111014 119281 166521 170892 222028 238562 333042 357843 477124 499563 545131 666084 715686 999126 1073529 1090262 1431372 1635393 1998252 2147058 2180524 3270786 4294116 4906179 5606207 6541572 9812358 11212414 16818621 19624716 22424828 25621157 33637242 50455863 51242314 55058231 67274484 76863471 100911726 102484628 110116462 153726942 165174693 201823452 220232924 230590413 307453884 330349386 461180826 495524079 643799711 660698772 922361652 991048158 1287599422 1931399133 1982096316 2575198844 2587736857 3862798266 5175473714 5794197399 7725596532 7763210571 10350947428 11588394798 15526421142 23176789596 23289631713 30258586417 31052842284 46579263426 60517172834 65023770811 90775759251 93158526852 121034345668 130047541622 181551518502 195071312433 260095083244 272327277753 363103037004 390142624866 544654555506 585213937299 780285249732 1089309111012 1170427874598 2340855749196 3056117228117 6112234456234 9168351684351 12224468912468 18336703368702 27505055053053 36673406737404 55010110106106 110020220212212