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121
From OeisWiki
121 is an integer. It is the only known square of the form , where is prime (in this case, ).
Contents
- 1 Membership in core sequences
- 2 Sequences pertaining to 121
- 3 Partitions of 121
- 4 Roots and powers of 121
- 5 Logarithms and 121st powers
- 6 Values for number theoretic functions with 121 as an argument
- 7 Factorization of 121 in some quadratic integer rings
- 8 Representation of 121 in various bases
- 9 See also
- 10 References
Membership in core sequences
Odd numbers | ..., 114, 116, 118, 121, 122, 124, 126, ... | A005408 |
Composite numbers | ..., 118, 119, 120, 121, 122, 123, 124, ... | A002808 |
Perfect squares | ..., 64, 81, 100, 121, 144, 169, 196, ... | A000290 |
Central polygonal numbers | ..., 79, 92, 106, 121, 137, 154, 172, ... | A000124 |
Numbers that are the sum of 2 squares | ..., 113, 116, 117, 121, 122, 125, 128, ... | A001481 |
Loeschian numbers | ..., 111, 112, 117, 121, 124, 127, 129, ... | A003136 |
Sequences pertaining to 121
Multiples of 121 | 121, 242, 363, 484, 605, 726, 847, 968 ... | |
sequence starting at 27 | ..., 161, 484, 242, 121, 364, 182, 91, 274, ... | A008884 |
Partitions of 121
There are 2056148051 partitions of 121. Of these, there is the of the [FINISH WRITING]
Roots and powers of 121
In the table below, irrational numbers are given truncated to eight decimal places.
TABLE GOES HERE
Logarithms and 121st powers
In the OEIS specifically and mathematics in general, refers to the natural logarithm of , whereas all other bases are specified with a subscript.
As above, irrational numbers in the following table are truncated to eight decimal places.
TABLE GOES HERE
Values for number theoretic functions with 121 as an argument
TABLE GOES HERE
Factorization of 121 in some quadratic integer rings
As was mentioned above, 121 is the square of 11. But it has different factorizations in some quadratic integer rings.
TABLE GOES HERE
Representation of 121 in various bases
Base | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
Representation | 1111001 | 11111 | 1321 | 441 | 321 | 232 | 171 | 144 | 121 | 100 | A1 | 94 | 89 | 81 | 79 | 72 | 6D | 67 | 61 |
See also
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 |
20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 |
30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 |
40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 | 49 |
1729 |