Search a number
-
+
12135054554001 = 36211479164701
BaseRepresentation
bin1011000010010110100110…
…0111011011001110010001
31120222002200211001022000000
42300211221213123032101
53042310042431212001
641450433405520213
72361504651536631
oct260455147331621
946862624038000
1012135054554001
1139594a1a32195
12143ba31273069
136a043b814172
142dd4a84aa6c1
151609d98b4a86
hexb09699db391

12135054554001 has 56 divisors (see below), whose sum is σ = 18318762543360. Its totient is φ = 8034836796000.

The previous prime is 12135054553961. The next prime is 12135054554009. The reversal of 12135054554001 is 10045545053121.

12135054554001 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 50 + 54 + 554 + 0 + 0 + 1 = 666.

12135054554001 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 12135054554001 - 210 = 12135054552977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12135054554009) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 73596951 + ... + 73761651.

Almost surely, 212135054554001 is an apocalyptic number.

It is an amenable number.

12135054554001 is a deficient number, since it is larger than the sum of its proper divisors (6183707989359).

12135054554001 is an equidigital number, since it uses as much as digits as its factorization.

12135054554001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165409 (or 165394 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 12135054554001 in words is "twelve trillion, one hundred thirty-five billion, fifty-four million, five hundred fifty-four thousand, one".

Divisors: 1 3 9 27 81 211 243 479 633 729 1437 1899 4311 5697 12933 17091 38799 51273 101069 116397 153819 164701 303207 349191 494103 909621 1482309 2728863 4446927 8186589 13340781 24559767 34751911 40022343 73679301 78891779 104255733 120067029 236675337 312767199 710026011 938301597 2130078033 2814904791 6390234099 8444714373 16646165369 19170702297 25334143119 49938496107 57512106891 149815488321 449446464963 1348339394889 4045018184667 12135054554001