Base | Representation |
---|---|
bin | 11001000001001010010111… |
… | …011001000001111100100000 |
3 | 112102120212021102022012112220 |
4 | 121001022113121001330200 |
5 | 103410222003100010422 |
6 | 1030003314340551040 |
7 | 32114323024225002 |
oct | 3101122731017440 |
9 | 472525242265486 |
10 | 110031012110112 |
11 | 32071987919565 |
12 | 104108b73b2480 |
13 | 4951b59253882 |
14 | 1d2575a96a372 |
15 | cac25c110e5c |
hex | 641297641f20 |
110031012110112 has 96 divisors (see below), whose sum is σ = 290972529469440. Its totient is φ = 36406102360320.
The previous prime is 110031012110099. The next prime is 110031012110137. The reversal of 110031012110112 is 211011210130011.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×1100310121101122 (a number of 29 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 110031012110091 and 110031012110100.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574438 + ... + 14845605.
It is an arithmetic number, because the mean of its divisors is an integer number (3030963848640).
Almost surely, 2110031012110112 is an apocalyptic number.
110031012110112 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 110031012110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145486264734720).
110031012110112 is an abundant number, since it is smaller than the sum of its proper divisors (180941517359328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
110031012110112 is a wasteful number, since it uses less digits than its factorization.
110031012110112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15420606 (or 15420598 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 15.
Adding to 110031012110112 its reverse (211011210130011), we get a palindrome (321042222240123).
The spelling of 110031012110112 in words is "one hundred ten trillion, thirty-one billion, twelve million, one hundred ten thousand, one hundred twelve".
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