Base | Representation |
---|---|
bin | 11001000010010100000001… |
… | …111111100010001110001100 |
3 | 112102212102102212221100010200 |
4 | 121002110001333202032030 |
5 | 103413021001130000022 |
6 | 1030103515231133500 |
7 | 32123123113212003 |
oct | 3102240177421614 |
9 | 472772385840120 |
10 | 110110110000012 |
11 | 320a2487591a01 |
12 | 104240b1074290 |
13 | 4959453503715 |
14 | 1d29501999c3a |
15 | cae33b2d7bac |
hex | 642501fe238c |
110110110000012 has 288 divisors, whose sum is σ = 295892112734400. Its totient is φ = 34471393689600.
The previous prime is 110110109999947. The next prime is 110110110000013. The reversal of 110110110000012 is 210000011011011.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 110110109999949 and 110110110000003.
It is not an unprimeable number, because it can be changed into a prime (110110110000013) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9198065187 + ... + 9198077157.
Almost surely, 2110110110000012 is an apocalyptic number.
110110110000012 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 110110110000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147946056367200).
110110110000012 is an abundant number, since it is smaller than the sum of its proper divisors (185782002734388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
110110110000012 is a wasteful number, since it uses less digits than its factorization.
110110110000012 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13657 (or 13652 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 9.
Adding to 110110110000012 its reverse (210000011011011), we get a palindrome (320110121011023).
The spelling of 110110110000012 in words is "one hundred ten trillion, one hundred ten billion, one hundred ten million, twelve", and thus it is an aban number.
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