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1106320068 = 22327192291009
BaseRepresentation
bin100000111110001…
…0001101011000100
32212002201212211100
41001330101223010
54231204220233
6301440140100
736262364640
oct10174215304
92762655740
101106320068
11518541707
1226a607630
13148284579
14a6d05c20
15671d3813
hex41f11ac4

1106320068 has 144 divisors (see below), whose sum is σ = 3382288000. Its totient is φ = 297851904.

The previous prime is 1106320063. The next prime is 1106320069. The reversal of 1106320068 is 8600236011.

It is not an unprimeable number, because it can be changed into a prime (1106320063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1095948 + ... + 1096956.

Almost surely, 21106320068 is an apocalyptic number.

1106320068 is a gapful number since it is divisible by the number (18) 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 1106320068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691144000).

1106320068 is an abundant number, since it is smaller than the sum of its proper divisors (2275967932).

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

1106320068 is a wasteful number, since it uses less digits than its factorization.

1106320068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1106320068 is about 33261.3900491245. The cubic root of 1106320068 is about 1034.2533353103.

Adding to 1106320068 its reverse (8600236011), we get a palindrome (9706556079).

The spelling of 1106320068 in words is "one billion, one hundred six million, three hundred twenty thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 229 252 266 342 399 458 532 684 687 798 916 1009 1197 1374 1596 1603 2018 2061 2394 2748 3027 3206 4036 4122 4351 4788 4809 6054 6412 7063 8244 8702 9081 9618 12108 13053 14126 14427 17404 18162 19171 19236 21189 26106 28252 28854 30457 36324 38342 39159 42378 52212 57513 57708 60914 63567 76684 78318 84756 91371 115026 121828 127134 134197 156636 172539 182742 230052 231061 254268 268394 274113 345078 365484 402591 462122 536788 548226 690156 693183 805182 924244 1096452 1207773 1386366 1610364 1617427 2079549 2415546 2772732 3234854 4159098 4390159 4831092 4852281 6469708 8318196 8780318 9704562 13170477 14556843 17560636 19409124 26340954 29113686 30731113 39511431 52681908 58227372 61462226 79022862 92193339 122924452 158045724 184386678 276580017 368773356 553160034 1106320068