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234120404133 = 33711242124317
BaseRepresentation
bin1101101000001010101…
…0011101110010100101
3211101022020211210202000
43122002222131302211
512313434310413013
6255315312435513
722625502412620
oct3320252356245
9741266753660
10234120404133
1190320956900
123945a548b99
1319101241815
14b48d862db7
156153ba8973
hex3682a9dca5

234120404133 has 96 divisors (see below), whose sum is σ = 436759061760. Its totient is φ = 121327113600.

The previous prime is 234120404117. The next prime is 234120404153. The reversal of 234120404133 is 331404021432.

234120404133 is a `hidden beast` number, since 2 + 3 + 4 + 120 + 404 + 133 = 666.

234120404133 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 234120404133 - 24 = 234120404117 is a prime.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 234120404097 and 234120404106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234120404153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9615691 + ... + 9640007.

It is an arithmetic number, because the mean of its divisors is an integer number (4549573560).

Almost surely, 2234120404133 is an apocalyptic number.

It is an amenable number.

234120404133 is a deficient number, since it is larger than the sum of its proper divisors (202638657627).

234120404133 is a wasteful number, since it uses less digits than its factorization.

234120404133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24776 (or 24759 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 234120404133 its reverse (331404021432), we get a palindrome (565524425565).

The spelling of 234120404133 in words is "two hundred thirty-four billion, one hundred twenty million, four hundred four thousand, one hundred thirty-three".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 121 189 231 297 363 421 693 847 1089 1263 2079 2541 2947 3267 3789 4631 7623 8841 11367 13893 22869 24317 26523 32417 41679 50941 72951 79569 97251 125037 152823 170219 218853 267487 291753 356587 458469 510657 656559 802461 875259 1069761 1375407 1531971 1872409 2407383 2942357 3209283 4595913 5617227 7222149 8827071 9627849 10237457 16851681 20596499 26481213 30712371 50555043 61789497 71662199 79443639 92137113 112612027 185368491 214986597 276411339 337836081 556105473 644959791 788284189 1013508243 1238732297 1934879373 2364852567 3040524729 3716196891 7094557701 8671126079 11148590673 21283673103 26013378237 33445772019 78040134711 234120404133