| Base | Representation |
|---|---|
| bin | 110000001010000101… |
| … | …1101010101111100100 |
| 3 | 100212221100212111020200 |
| 4 | 1200110023222233210 |
| 5 | 3143244430134314 |
| 6 | 115302014430500 |
| 7 | 10320534643500 |
| oct | 1402413525744 |
| 9 | 325840774220 |
| 10 | 103417818084 |
| 11 | 3a94a731449 |
| 12 | 18062502430 |
| 13 | 99a19337c9 |
| 14 | 5010d49300 |
| 15 | 2a54311709 |
| hex | 18142eabe4 |
103417818084 has 216 divisors, whose sum is σ = 309648339000. Its totient is φ = 29013304320.
The previous prime is 103417818073. The next prime is 103417818089. The reversal of 103417818084 is 480818714301.
103417818084 is a `hidden beast` number, since 1 + 0 + 3 + 417 + 81 + 80 + 84 = 666.
103417818084 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 3662912484 + 99754905600 = 60522^2 + 315840^2 .
It is not an unprimeable number, because it can be changed into a prime (103417818089) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23390194 + ... + 23394614.
It is an arithmetic number, because the mean of its divisors is an integer number (1433557125).
Almost surely, 2103417818084 is an apocalyptic number.
103417818084 is a gapful number since it is divisible by the number (14) 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 103417818084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154824169500).
103417818084 is an abundant number, since it is smaller than the sum of its proper divisors (206230520916).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103417818084 is a wasteful number, since it uses less digits than its factorization.
103417818084 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4683 (or 4671 counting only the distinct ones).
The product of its (nonzero) digits is 172032, while the sum is 45.
The spelling of 103417818084 in words is "one hundred three billion, four hundred seventeen million, eight hundred eighteen thousand, eighty-four".
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