Search a number
-
+
4130121033241 = 7177997113149269
BaseRepresentation
bin111100000110011110011…
…001011010011000011001
3112121211120020101001221121
4330012132121122120121
51020131441441030431
612441203523205241
7604251151354060
oct74063631323031
915554506331847
104130121033241
111352635718875
12568541216821
1323c612a99568
14103c829131d7
157267977a611
hex3c19e65a619

4130121033241 has 128 divisors (see below), whose sum is σ = 5212408320000. Its totient is φ = 3193387352064.

The previous prime is 4130121033229. The next prime is 4130121033287. The reversal of 4130121033241 is 1423301210314.

4130121033241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4130121033241 - 221 = 4130118936089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4130121031241) 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, 15353609655 + ... + 15353609923.

It is an arithmetic number, because the mean of its divisors is an integer number (40721940000).

Almost surely, 24130121033241 is an apocalyptic number.

It is an amenable number.

4130121033241 is a deficient number, since it is larger than the sum of its proper divisors (1082287286759).

4130121033241 is a wasteful number, since it uses less digits than its factorization.

4130121033241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 4130121033241 its reverse (1423301210314), we get a palindrome (5553422243555).

The spelling of 4130121033241 in words is "four trillion, one hundred thirty billion, one hundred twenty-one million, thirty-three thousand, two hundred forty-one".

Divisors: 1 7 17 79 97 113 119 149 269 553 679 791 1043 1343 1649 1883 1921 2533 4573 7663 8927 9401 10961 11543 11771 13447 14453 16837 17731 21251 26093 30397 32011 40081 53641 62489 76727 82397 101171 117859 130271 148757 151759 182651 186337 200107 212779 245701 280567 286229 361267 443581 516749 681377 865919 911897 1062313 1141787 1304359 1330123 1400749 1633189 1719907 2003603 2061347 2401363 2528869 2948509 3105067 3166399 3617243 3887857 4529153 4769639 6061433 7992509 9310861 11432323 14429429 14720623 16809541 19410379 20639563 22164793 22612091 27214999 27764213 31704071 35042899 40823171 50124653 53828783 66093569 76995601 103044361 129021931 135872653 158284637 194349491 232932211 245300293 285762197 307140703 350872571 357803087 376801481 439327841 462654983 538969207 903153517 1630525477 2149984921 2193372827 2504621609 3075294887 3959847587 5221391951 6082652479 7468573297 15353609789 27718933109 34706899439 36549743657 42578567353 52280013079 242948296073 590017290463 4130121033241