| Base | Representation |
|---|---|
| bin | 111111010111010… |
| … | …0001001111100000 |
| 3 | 12111011200021211100 |
| 4 | 1332232201033200 |
| 5 | 13323241432000 |
| 6 | 550550114400 |
| 7 | 103454520150 |
| oct | 17656411740 |
| 9 | 5434607740 |
| 10 | 2126124000 |
| 11 | 9a1161480 |
| 12 | 4b404ba00 |
| 13 | 27b636850 |
| 14 | 16252a760 |
| 15 | c69c7a00 |
| hex | 7eba13e0 |
2126124000 has 1152 divisors, whose sum is σ = 10302888960. Its totient is φ = 400896000.
The previous prime is 2126123981. The next prime is 2126124019. The reversal of 2126124000 is 4216212.
2126124000 is a `hidden beast` number, since 2 + 1 + 261 + 2 + 400 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (2126123981) and next prime (2126124019).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
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 191 ways as a sum of consecutive naturals, for example, 36035971 + ... + 36036029.
It is an arithmetic number, because the mean of its divisors is an integer number (8943480).
Almost surely, 22126124000 is an apocalyptic number.
2126124000 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 2126124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151444480).
2126124000 is an abundant number, since it is smaller than the sum of its proper divisors (8176764960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2126124000 is a wasteful number, since it uses less digits than its factorization.
2126124000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 121 (or 100 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 2126124000 is about 46109.9121664746. The cubic root of 2126124000 is about 1285.8674314930.
It can be divided in two parts, 212612 and 4000, that added together give a palindrome (216612).
The spelling of 2126124000 in words is "two billion, one hundred twenty-six million, one hundred twenty-four thousand".
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