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141121242333 = 33172196714207
BaseRepresentation
bin1000001101101101111…
…0110100010011011101
3111111020222111220002000
42003123132310103131
54303004014223313
6144455153552513
713124054524251
oct2033336642335
9444228456060
10141121242333
11549382980a5
1223425275739
13103ccc6c6b6
146b8a4da261
153a0e3a1673
hex20db7b44dd

141121242333 has 96 divisors (see below), whose sum is σ = 237284966400. Its totient is φ = 82628460288.

The previous prime is 141121242331. The next prime is 141121242341. The reversal of 141121242333 is 333242121141.

141121242333 is a `hidden beast` number, since 1 + 411 + 2 + 1 + 242 + 3 + 3 + 3 = 666.

It is not a de Polignac number, because 141121242333 - 21 = 141121242331 is a prime.

It is a super-2 number, since 2×1411212423332 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 141121242297 and 141121242306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141121242331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9926116 + ... + 9940322.

It is an arithmetic number, because the mean of its divisors is an integer number (2471718400).

Almost surely, 2141121242333 is an apocalyptic number.

It is an amenable number.

141121242333 is a deficient number, since it is larger than the sum of its proper divisors (96163724067).

141121242333 is a wasteful number, since it uses less digits than its factorization.

141121242333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14336 (or 14313 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 141121242333 its reverse (333242121141), we get a palindrome (474363363474).

The spelling of 141121242333 in words is "one hundred forty-one billion, one hundred twenty-one million, two hundred forty-two thousand, three hundred thirty-three".

Divisors: 1 3 9 17 19 27 51 57 67 153 171 201 289 323 459 513 603 867 969 1139 1273 1809 2601 2907 3417 3819 5491 7803 8721 10251 11457 14207 16473 19363 21641 30753 34371 42621 49419 58089 64923 127863 148257 174267 194769 241519 269933 367897 383589 522801 584307 724557 809799 951869 1103691 2173671 2429397 2855607 3311073 4105823 4588861 6521013 7288191 8566821 9933219 12317469 13766583 16181773 18085511 25700463 36952407 41299749 48545319 54256533 78010637 110857221 123899247 145635957 162769599 234031911 275090141 307453687 436907871 488308797 702095733 825270423 922361061 2106287199 2475811269 2767083183 5226712679 7427433807 8301249549 15680138037 47040414111 141121242333