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201222110111112 = 233310125759358073
BaseRepresentation
bin101101110000001010101100…
…011001001110010110001000
3222101110122102211102012002000
4231300022230121032112020
5202333310340142023422
61551544054454311000
760245550321003066
oct5560125431162610
9871418384365060
10201222110111112
115912a8aa343142
121a69a239658460
13883821846c66c
1437992b8793036
15183e3aeda8cac
hexb702ac64e588

201222110111112 has 128 divisors (see below), whose sum is σ = 564507957888000. Its totient is φ = 66407173747200.

The previous prime is 201222110111081. The next prime is 201222110111129. The reversal of 201222110111112 is 211111011222102.

It is a happy number.

201222110111112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561779308 + ... + 562137380.

It is an arithmetic number, because the mean of its divisors is an integer number (4410218421000).

Almost surely, 2201222110111112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201222110111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282253978944000).

201222110111112 is an abundant number, since it is smaller than the sum of its proper divisors (363285847776888).

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

201222110111112 is a wasteful number, since it uses less digits than its factorization.

201222110111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383948 (or 383938 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 201222110111112 its reverse (211111011222102), we get a palindrome (412333121333214).

The spelling of 201222110111112 in words is "two hundred one trillion, two hundred twenty-two billion, one hundred ten million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 303 404 606 808 909 1212 1818 2424 2727 3636 5454 7272 10908 21816 25759 51518 77277 103036 154554 206072 231831 309108 358073 463662 618216 695493 716146 927324 1074219 1390986 1432292 1854648 2148438 2601659 2781972 2864584 3222657 4296876 5203318 5563944 6445314 7804977 8593752 9667971 10406636 12890628 15609954 19335942 20813272 23414931 25781256 31219908 36165373 38671884 46829862 62439816 70244793 72330746 77343768 93659724 108496119 140489586 144661492 187319448 216992238 280979172 289322984 325488357 433984476 561958344 650976714 867968952 976465071 1301953428 1952930142 2603906856 3905860284 7811720568 9223602407 18447204814 27670807221 36894409628 55341614442 73788819256 83012421663 110683228884 166024843326 221366457768 249037264989 332049686652 498074529978 664099373304 931583843107 996149059956 1863167686214 1992298119912 2794751529321 3726335372428 5589503058642 7452670744856 8384254587963 11179006117284 16768509175926 22358012234568 25152763763889 33537018351852 50305527527778 67074036703704 100611055055556 201222110111112