12100 is the number following 12099 and preceding 12101.
Properties
- Its factors are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 121, 220, 242, 275, 484, 550, 605, 1100, 1210, 2420, 3025, 6050 and 12100, making it a composite number.[1][2][3] It is also a cubefree number.[4]
- 12100 is an even number[5][6] .
- 12100 is an unhappy number.[7][8]
- 12100 is a centered octagonal number.[9]
- 12100 is abundant.[10]
- Its prime factorization is 22 × 52 × 112.
- 12100 is a Harshad number, meaning it is divisible by the sum of its digits.[11]
Approximations
| Notation | Lower bound | Upper bound | |
|---|---|---|---|
| Up-arrow notation | 110 ↑ 2 | ||
| Scientific notation | 1.21 x 104 | 1.211 x 104 | |
| Slow-growing hierarchy | \(g_{\omega^{\omega}}(5)\) | \(g_{\omega^{\omega}}(6)\) | |
| Copy notation | 1[5] | 2[5] | |
| Chained arrow notation | 110 → 2 | ||
| Bowers' Exploding Array Function/Bird's array notation | {110,2} | ||
| Fast-growing hierarchy | f2(10) | f2(11) | |
| Hardy hierarchy | Hω(6050) | Hω(6050) | |
| Middle-growing hierarchy | m(ω,13) | m(ω,14) | |
| Hyper-E notation | E4.0828 | ||
| Hyper-E notation (non-10 base) | \(E[110]2\) | ||
| Hyperfactorial array notation | 7! | 8! | |
| X-Sequence Hyper-Exponential Notation | 110{1}2 | ||
| Steinhaus-Moser Notation | 5[3] | 6[3] | |
| PlantStar's Debut Notation | [2] | [3] | |
| H* function | H(0.3) | H(0.4) | |
| Bashicu matrix system with respect to version 4 | (0)[110] | (0)[110] | |
| m(n) map | m(1)(5) | m(1)(6) | |
| s(n) map | \(s(1)(\lambda x . x+1)(6049)\) | \(s(1)(\lambda x . x+1)(6050)\) | |
Sources
- ↑ OEIS A002808 - Composite numbers
- ↑ Wolfram Alpha Is 12100 composite?
- ↑ Wolfram Alpha 12100's factors
- ↑ OEIS A004709 - Cubefree numbers
- ↑ OEIS A005843 - Even numbers
- ↑ Wolfram Alpha Is 12100 even?
- ↑ Wolfram Alpha Unhappy Numbers
- ↑ OEIS A031177 - Unhappy Numbers
- ↑ OEIS A016754 - Centered octagonal numbers
- ↑ OEIS A005101 - Abundant numbers
- ↑ OEIS A005349 - Harshad numbers