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111400114224 = 24376729316889
BaseRepresentation
bin110011110111111110…
…1101101100000110000
3101122112122222011000110
41213233331231200300
53311121412123344
6123102043021320
711022412230060
oct1475775554060
9348478864013
10111400114224
1143276507703
121970b80a840
13a6745b8669
14556b1253a0
152d6eeb13b9
hex19eff6d830

111400114224 has 160 divisors (see below), whose sum is σ = 334963560960. Its totient is φ = 31244691456.

The previous prime is 111400114219. The next prime is 111400114289. The reversal of 111400114224 is 422411004111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 111400114224.

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, 6587572 + ... + 6604460.

It is an arithmetic number, because the mean of its divisors is an integer number (2093522256).

Almost surely, 2111400114224 is an apocalyptic number.

111400114224 is a gapful number since it is divisible by the number (14) 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 111400114224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167481780480).

111400114224 is an abundant number, since it is smaller than the sum of its proper divisors (223563446736).

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

111400114224 is a wasteful number, since it uses less digits than its factorization.

111400114224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17267 (or 17261 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 111400114224 its reverse (422411004111), we get a palindrome (533811118335).

The spelling of 111400114224 in words is "one hundred eleven billion, four hundred million, one hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 168 201 268 293 336 402 469 536 586 804 879 938 1072 1172 1407 1608 1758 1876 2051 2344 2814 3216 3516 3752 4102 4688 5628 6153 7032 7504 8204 11256 12306 14064 16408 16889 19631 22512 24612 32816 33778 39262 49224 50667 58893 67556 78524 98448 101334 117786 118223 135112 137417 157048 202668 235572 236446 270224 274834 314096 354669 405336 412251 471144 472892 549668 709338 810672 824502 942288 945784 1099336 1131563 1418676 1649004 1891568 2198672 2263126 2837352 3298008 3394689 4526252 4948477 5674704 6596016 6789378 7920941 9052504 9896954 13578756 14845431 15841882 18105008 19793908 23762823 27157512 29690862 31683764 34639339 39587816 47525646 54315024 59381724 63367528 69278678 79175632 95051292 103918017 118763448 126735056 138557356 190102584 207836034 237526896 277114712 331547959 380205168 415672068 554229424 663095918 831344136 994643877 1326191836 1662688272 1989287754 2320835713 2652383672 3978575508 4641671426 5304767344 6962507139 7957151016 9283342852 13925014278 15914302032 18566685704 27850028556 37133371408 55700057112 111400114224