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121331133033 = 311195379113409
BaseRepresentation
bin111000011111111100…
…1100010101001101001
3102121011202221011201220
41300333321202221221
53441441232224113
6131423323132253
711523461420505
oct1607771425151
9377152834656
10121331133033
1147502297070
121b621674089
13b597c02c56
145c3004d305
153251c95523
hex1c3fe62a69

121331133033 has 128 divisors (see below), whose sum is σ = 193840128000. Its totient is φ = 66723471360.

The previous prime is 121331133023. The next prime is 121331133073. The reversal of 121331133033 is 330331133121.

It is not a de Polignac number, because 121331133033 - 26 = 121331132969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121331132994 and 121331133012.

It is not an unprimeable number, because it can be changed into a prime (121331133023) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 296652933 + ... + 296653341.

It is an arithmetic number, because the mean of its divisors is an integer number (1514376000).

Almost surely, 2121331133033 is an apocalyptic number.

It is an amenable number.

121331133033 is a deficient number, since it is larger than the sum of its proper divisors (72508994967).

121331133033 is a wasteful number, since it uses less digits than its factorization.

121331133033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 121331133033 its reverse (330331133121), we get a palindrome (451662266154).

The spelling of 121331133033 in words is "one hundred twenty-one billion, three hundred thirty-one million, one hundred thirty-three thousand, thirty-three".

Divisors: 1 3 11 19 33 53 57 79 113 159 209 237 339 409 583 627 869 1007 1227 1243 1501 1749 2147 2607 3021 3729 4187 4499 4503 5989 6441 7771 8927 11077 12561 13497 16511 17967 21677 23313 23617 26781 32311 33231 46057 46217 49533 65031 65879 70851 79553 85481 96933 98197 113791 138171 138651 169613 197637 238447 238659 256443 294591 341373 355421 411863 473131 508387 508839 613909 715341 875083 878123 1066263 1235589 1251701 1419393 1525161 1712483 1841727 1865743 2449501 2625249 2634369 3651143 3755103 4530493 5137449 5204441 5597229 6752999 7348503 8989489 9659353 10953429 13591479 15613323 18837313 20258997 26944511 26968467 28978059 32537177 40162573 46540519 56511939 69371717 80833533 97611531 98884379 120487719 139621557 193510579 208115151 296653137 357908947 511945709 580531737 763088887 1073726841 1535837127 2128616369 2289266661 3676701001 6385849107 11030103003 40443711011 121331133033