Search a number
-
+
111022002202212 = 223279832931605217
BaseRepresentation
bin11001001111100101010011…
…000000001110011001100100
3112120002121012012222212221100
4121033211103000032121210
5104022441030030432322
61032042445333520100
732246034466065663
oct3117452300163144
9476077165885840
10111022002202212
11324141919a6282
1210550983aa3030
1349c44399b045a
141d5b6ca53cdda
15cc7e0c88edac
hex64f95300e664

111022002202212 has 144 divisors (see below), whose sum is σ = 288597135939840. Its totient is φ = 35975433222144.

The previous prime is 111022002202183. The next prime is 111022002202339. The reversal of 111022002202212 is 212202200220111.

It is a happy number.

111022002202212 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 220 + 0 + 220 + 221 + 2 = 666.

It is a super-3 number, since 3×1110220022022123 (a number of 43 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 68360628 + ... + 69965844.

It is an arithmetic number, because the mean of its divisors is an integer number (2004146777360).

Almost surely, 2111022002202212 is an apocalyptic number.

111022002202212 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 111022002202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144298567969920).

111022002202212 is an abundant number, since it is smaller than the sum of its proper divisors (177575133737628).

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

111022002202212 is a wasteful number, since it uses less digits than its factorization.

111022002202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605682 (or 1605677 counting only the distinct ones).

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

Adding to 111022002202212 its reverse (212202200220111), we get a palindrome (323224202422323).

The spelling of 111022002202212 in words is "one hundred eleven trillion, twenty-two billion, two million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 79 83 158 166 237 249 293 316 332 474 498 586 711 747 879 948 996 1172 1422 1494 1758 2637 2844 2988 3516 5274 6557 10548 13114 19671 23147 24319 26228 39342 46294 48638 59013 69441 72957 78684 92588 97276 118026 138882 145914 208323 218871 236052 277764 291828 416646 437742 833292 875484 1605217 1921201 3210434 3842402 4815651 5763603 6420868 7684804 9631302 11527206 14446953 17290809 19262604 23054412 28893906 34581618 57787812 69163236 126812143 133233011 253624286 266466022 380436429 399699033 470328581 507248572 532932044 760872858 799398066 940657162 1141309287 1199097099 1410985743 1521745716 1598796132 1881314324 2282618574 2398194198 2821971486 4232957229 4565237148 4796388396 5643942972 8465914458 10525407869 16931828916 21050815738 31576223607 37155957899 39037272223 42101631476 63152447214 74311915798 78074544446 94728670821 111467873697 117111816669 126304894428 148623831596 156149088892 189457341642 222935747394 234223633338 334403621091 351335450007 378914683284 445871494788 468447266676 668807242182 702670900014 1337614484364 1405341800028 3083944505617 6167889011234 9251833516851 12335778022468 18503667033702 27755500550553 37007334067404 55511001101106 111022002202212