Base | Representation |
---|---|
bin | 100000111101110… |
… | …0101000000010110 |
3 | 2212002101120212010 |
4 | 1001323211000112 |
5 | 4231132341420 |
6 | 301432205050 |
7 | 36261003351 |
oct | 10173450026 |
9 | 2762346763 |
10 | 1106137110 |
11 | 518427201 |
12 | 26a539786 |
13 | 14821c200 |
14 | a6c99298 |
15 | 671994e0 |
hex | 41ee5016 |
1106137110 has 96 divisors (see below), whose sum is σ = 2902936320. Its totient is φ = 269602944.
The previous prime is 1106137051. The next prime is 1106137127. The reversal of 1106137110 is 117316011.
It is a super-2 number, since 2×11061371102 = 2447078612238304200, which contains 22 as substring.
It is a congruent number.
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, 541471 + ... + 543509.
It is an arithmetic number, because the mean of its divisors is an integer number (30238920).
Almost surely, 21106137110 is an apocalyptic number.
1106137110 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 1106137110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451468160).
1106137110 is an abundant number, since it is smaller than the sum of its proper divisors (1796799210).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1106137110 is a wasteful number, since it uses less digits than its factorization.
1106137110 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2182 (or 2169 counting only the distinct ones).
The product of its (nonzero) digits is 126, while the sum is 21.
The square root of 1106137110 is about 33258.6396294256. The cubic root of 1106137110 is about 1034.1963188527.
The spelling of 1106137110 in words is "one billion, one hundred six million, one hundred thirty-seven thousand, one hundred ten".
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