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1101116010 = 235172891427
BaseRepresentation
bin100000110100001…
…1011001001101010
32211201221111012110
41001220123021222
54223341203020
6301132423150
736200221521
oct10150331152
92751844173
101101116010
11515607835
12268917ab6
13147181947
14a634d4b8
1566a068e0
hex41a1b26a

1101116010 has 96 divisors (see below), whose sum is σ = 2840806080. Its totient is φ = 273061888.

The previous prime is 1101115973. The next prime is 1101116069. The reversal of 1101116010 is 106111011.

It is an unprimeable number.

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, 770917 + ... + 772343.

It is an arithmetic number, because the mean of its divisors is an integer number (29591730).

Almost surely, 21101116010 is an apocalyptic number.

1101116010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101116010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420403040).

1101116010 is an abundant number, since it is smaller than the sum of its proper divisors (1739690070).

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

1101116010 is a wasteful number, since it uses less digits than its factorization.

1101116010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

The square root of 1101116010 is about 33183.0681221613. The cubic root of 1101116010 is about 1032.6290989565.

Adding to 1101116010 its reverse (106111011), we get a palindrome (1207227021).

The spelling of 1101116010 in words is "one billion, one hundred one million, one hundred sixteen thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 89 102 170 178 255 267 289 445 510 534 578 867 890 1335 1427 1445 1513 1734 2670 2854 2890 3026 4281 4335 4539 7135 7565 8562 8670 9078 14270 15130 21405 22695 24259 25721 42810 45390 48518 51442 72777 77163 121295 127003 128605 145554 154326 242590 254006 257210 363885 381009 385815 412403 635015 727770 762018 771630 824806 1237209 1270030 1905045 2062015 2159051 2474418 3810090 4124030 4318102 6186045 6477153 10795255 12372090 12954306 21590510 32385765 36703867 64771530 73407734 110111601 183519335 220223202 367038670 550558005 1101116010