| Base | Representation |
|---|---|
| bin | 11011111101111010100011… |
| … | …101101110001111111101000 |
| 3 | 121010111212201021020112210000 |
| 4 | 123331322203231301333220 |
| 5 | 112110231114122012222 |
| 6 | 1113334203054223000 |
| 7 | 34623413503121550 |
| oct | 3375724355617750 |
| 9 | 533455637215700 |
| 10 | 123002020110312 |
| 11 | 36212955772742 |
| 12 | 119667477b4a60 |
| 13 | 538306b625605 |
| 14 | 2253488378160 |
| 15 | e348713d09ac |
| hex | 6fdea3b71fe8 |
123002020110312 has 320 divisors, whose sum is σ = 398821150379520. Its totient is φ = 34691931096192.
The previous prime is 123002020110293. The next prime is 123002020110377. The reversal of 123002020110312 is 213011020200321.
123002020110312 is a `hidden beast` number, since 1 + 2 + 300 + 20 + 20 + 1 + 10 + 312 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (31) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 136906863 + ... + 137802369.
It is an arithmetic number, because the mean of its divisors is an integer number (1246316094936).
Almost surely, 2123002020110312 is an apocalyptic number.
123002020110312 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 123002020110312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199410575189760).
123002020110312 is an abundant number, since it is smaller than the sum of its proper divisors (275819130269208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123002020110312 is a wasteful number, since it uses less digits than its factorization.
123002020110312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 895922 (or 895909 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 123002020110312 its reverse (213011020200321), we get a palindrome (336013040310633).
Subtracting 123002020110312 from its reverse (213011020200321), we obtain a palindrome (90009000090009).
The spelling of 123002020110312 in words is "one hundred twenty-three trillion, two billion, twenty million, one hundred ten thousand, three hundred twelve".
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