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112111200112212 = 223274184509128399
BaseRepresentation
bin11001011111011011101100…
…010000100000111001010100
3112200221201121022000121220200
4121133123230100200321110
5104143312214212042322
61034235101353100500
732420524023421530
oct3137335420407124
9480851538017820
10112111200112212
11327a4102804164
12106a7a9a0b7730
134a7306b865ca2
141d982d5132bc0
15ce6409d468ac
hex65f6ec420e54

112111200112212 has 144 divisors (see below), whose sum is σ = 331782744384000. Its totient is φ = 31249895569920.

The previous prime is 112111200112211. The next prime is 112111200112243. The reversal of 112111200112212 is 212211002111211.

It is a happy number.

112111200112212 is a `hidden beast` number, since 11 + 211 + 120 + 0 + 112 + 212 = 666.

It is a super-2 number, since 2×1121112001122122 (a number of 29 digits) contains 22 as substring.

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 (112111200112211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 873082789 + ... + 873211187.

It is an arithmetic number, because the mean of its divisors is an integer number (2304046836000).

Almost surely, 2112111200112212 is an apocalyptic number.

112111200112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112111200112212 is an abundant number, since it is smaller than the sum of its proper divisors (219671544271788).

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

112111200112212 is a wasteful number, since it uses less digits than its factorization.

112111200112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212966 (or 212961 counting only the distinct ones).

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

Adding to 112111200112212 its reverse (212211002111211), we get a palindrome (324322202223423).

The spelling of 112111200112212 in words is "one hundred twelve trillion, one hundred eleven billion, two hundred million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 3444 5166 10332 84509 128399 169018 253527 256798 338036 385197 507054 513596 591563 760581 770394 898793 1014108 1155591 1183126 1521162 1540788 1774689 1797586 2311182 2366252 2696379 3042324 3464869 3549378 3595172 4622364 5264359 5324067 5392758 6929738 7098756 8089137 10394607 10528718 10648134 10785516 13859476 15793077 16178274 20789214 21057436 21296268 24254083 31183821 31586154 32356548 36850513 41578428 47379231 48508166 62367642 63172308 72762249 73701026 94758462 97016332 110551539 124735284 145524498 147402052 189516924 218286747 221103078 291048996 331654617 436573494 442206156 663309234 873146988 1326618468 10850871091 21701742182 32552613273 43403484364 65105226546 75956097637 97657839819 130210453092 151912195274 195315679638 227868292911 303824390548 390631359276 444885714731 455736585822 683604878733 889771429462 911473171644 1334657144193 1367209757466 1779542858924 2669314288386 2734419514932 3114200003117 4003971432579 5338628576772 6228400006234 8007942865158 9342600009351 12456800012468 16015885730316 18685200018702 28027800028053 37370400037404 56055600056106 112111200112212