| Base | Representation |
|---|---|
| bin | 11110100101110000010… |
| … | …100001101100001001000 |
| 3 | 21102221221120221202120100 |
| 4 | 132211300110031201020 |
| 5 | 233420122034313214 |
| 6 | 4245411354525400 |
| 7 | 304605401456400 |
| oct | 36456024154110 |
| 9 | 7387846852510 |
| 10 | 2102123354184 |
| 11 | 740561916357 |
| 12 | 29b4a4a36860 |
| 13 | 1232c9c4a9b9 |
| 14 | 73a59919800 |
| 15 | 39a33844309 |
| hex | 1e97050d848 |
2102123354184 has 288 divisors, whose sum is σ = 7016215616280. Its totient is φ = 564964098048.
The previous prime is 2102123354183. The next prime is 2102123354231. The reversal of 2102123354184 is 4814533212012.
2102123354184 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 1 + 2 + 33 + 541 + 84 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 1890267516900 + 211855837284 = 1374870^2 + 460278^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (2102123354183) 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, 120962904 + ... + 120980280.
Almost surely, 22102123354184 is an apocalyptic number.
2102123354184 is a gapful number since it is divisible by the number (24) 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 2102123354184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508107808140).
2102123354184 is an abundant number, since it is smaller than the sum of its proper divisors (4914092262096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2102123354184 is a wasteful number, since it uses less digits than its factorization.
2102123354184 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19437 (or 19423 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 36.
Adding to 2102123354184 its reverse (4814533212012), we get a palindrome (6916656566196).
The spelling of 2102123354184 in words is "two trillion, one hundred two billion, one hundred twenty-three million, three hundred fifty-four thousand, one hundred eighty-four".
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