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112221113532 = 223118960715737
BaseRepresentation
bin110100010000011100…
…1100100110010111100
3101201122212211020100020
41220200321210302330
53314312101113112
6123315331532140
711051641504053
oct1504071446274
9351585736306
10112221113532
1143657990630
12198ba75a050
13a775711778
14560819939a
152dbc0d548c
hex1a20e64cbc

112221113532 has 96 divisors (see below), whose sum is σ = 289357608960. Its totient is φ = 33566776320.

The previous prime is 112221113519. The next prime is 112221113611. The reversal of 112221113532 is 235311122211.

112221113532 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7123168 + ... + 7138904.

It is an arithmetic number, because the mean of its divisors is an integer number (3014141760).

Almost surely, 2112221113532 is an apocalyptic number.

112221113532 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 112221113532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144678804480).

112221113532 is an abundant number, since it is smaller than the sum of its proper divisors (177136495428).

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

112221113532 is a wasteful number, since it uses less digits than its factorization.

112221113532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16451 (or 16449 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

Adding to 112221113532 its reverse (235311122211), we get a palindrome (347532235743).

The spelling of 112221113532 in words is "one hundred twelve billion, two hundred twenty-one million, one hundred thirteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 132 178 267 356 534 607 979 1068 1214 1821 1958 2428 2937 3642 3916 5874 6677 7284 11748 13354 15737 20031 26708 31474 40062 47211 54023 62948 80124 94422 108046 162069 173107 188844 216092 324138 346214 519321 594253 648276 692428 1038642 1188506 1400593 1782759 2077284 2377012 2801186 3565518 4201779 5602372 7131036 8403558 9552359 15406523 16807116 19104718 28657077 30813046 38209436 46219569 57314154 61626092 92439138 105075949 114628308 184878276 210151898 315227847 420303796 630455694 850159951 1260911388 1700319902 2550479853 3400639804 5100959706 9351759461 10201919412 18703518922 28055278383 37407037844 56110556766 112221113532