| Base | Representation |
|---|---|
| bin | 11110111010011111000… |
| … | …000011010101100000000 |
| 3 | 21112002101210122021220000 |
| 4 | 132322133000122230000 |
| 5 | 234301213132442010 |
| 6 | 4303532152520000 |
| 7 | 306324104034000 |
| oct | 36723700325400 |
| 9 | 7462353567800 |
| 10 | 2124381530880 |
| 11 | 749a43a9aa04 |
| 12 | 2a38770b0000 |
| 13 | 12543641605b |
| 14 | 74b6baa4000 |
| 15 | 3a3d796e7c0 |
| hex | 1ee9f01ab00 |
2124381530880 has 2880 divisors, whose sum is σ = 9573219532800. Its totient is φ = 448693862400.
The previous prime is 2124381530851. The next prime is 2124381530881. The reversal of 2124381530880 is 880351834212.
2124381530880 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 38 + 1 + 530 + 8 + 80 = 666.
It is a tau number, because it is divible by the number of its divisors (2880).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2124381530881) by changing a digit.
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 319 ways as a sum of consecutive naturals, for example, 45199607017 + ... + 45199607063.
It is an arithmetic number, because the mean of its divisors is an integer number (3324034560).
Almost surely, 22124381530880 is an apocalyptic number.
2124381530880 is a gapful number since it is divisible by the number (20) 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 2124381530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786609766400).
2124381530880 is an abundant number, since it is smaller than the sum of its proper divisors (7448838001920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2124381530880 is an equidigital number, since it uses as much as digits as its factorization.
2124381530880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 173 (or 136 counting only the distinct ones).
The product of its (nonzero) digits is 368640, while the sum is 45.
The spelling of 2124381530880 in words is "two trillion, one hundred twenty-four billion, three hundred eighty-one million, five hundred thirty thousand, eight hundred eighty".
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