Search a number
-
+
111010002112212 = 223725412089167051
BaseRepresentation
bin11001001111011010000111…
…101111100000111011010100
3112120001110012220201011010120
4121033122013233200323110
5104022241441020042322
61032033142502151540
732245131224025600
oct3117320757407324
9476043186634116
10111010002112212
113240a094193025
121054a5951225b0
1349c3276816998
141d5acac8da500
15cc7959102a5c
hex64f687be0ed4

111010002112212 has 144 divisors (see below), whose sum is σ = 302016130637760. Its totient is φ = 31643172288000.

The previous prime is 111010002112153. The next prime is 111010002112279. The reversal of 111010002112212 is 212211200010111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 111010002112191 and 111010002112200.

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, 664444087 + ... + 664611137.

It is an arithmetic number, because the mean of its divisors is an integer number (2097334240540).

Almost surely, 2111010002112212 is an apocalyptic number.

111010002112212 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 111010002112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151008065318880).

111010002112212 is an abundant number, since it is smaller than the sum of its proper divisors (191006128525548).

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

111010002112212 is a wasteful number, since it uses less digits than its factorization.

111010002112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169702 (or 169693 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111010002112212 its reverse (212211200010111), we get a palindrome (323221202122323).

The spelling of 111010002112212 in words is "one hundred eleven trillion, ten billion, two million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 541 588 1082 1623 2089 2164 3246 3787 4178 6267 6492 7574 8356 11361 12534 14623 15148 22722 25068 26509 29246 43869 45444 53018 58492 79527 87738 102361 106036 159054 167051 175476 204722 307083 318108 334102 409444 501153 614166 668204 1002306 1130149 1169357 1228332 2004612 2260298 2338714 3390447 3508071 4520596 4677428 6780894 7016142 7911043 8185499 13561788 14032284 15822086 16370998 23733129 24556497 31644172 32741996 47466258 49112994 55377301 90374591 94932516 98225988 110754602 166131903 180749182 221509204 271123773 332263806 348969539 361498364 542247546 632622137 664527612 697939078 1046908617 1084495092 1265244274 1395878156 1897866411 2093817234 2442786773 2530488548 3795732822 4187634468 4428354959 4885573546 7328360319 7591465644 8856709918 9771147092 13285064877 14656720638 17099507411 17713419836 26570129754 29313441276 34199014822 51298522233 53140259508 68398029644 102597044466 188792520599 205194088932 377585041198 566377561797 755170082396 1132755123594 1321547644193 2265510247188 2643095288386 3964642932579 5286190576772 7929285865158 9250833509351 15858571730316 18501667018702 27752500528053 37003334037404 55505001056106 111010002112212