Search a number
-
+
241031130020343 = 321397215329093391
BaseRepresentation
bin110110110011011101101110…
…111000100111100111110111
31011121102100110212121101020100
4312303131232320213213313
5223043023223241122333
62212344101132405143
7101524632045054225
oct6663355670474767
91147370425541210
10241031130020343
116a888801256353
12230495459167b3
13a4651a4349250
144373d7caa5b15
151cceb8d462213
hexdb376ee279f7

241031130020343 has 96 divisors (see below), whose sum is σ = 379220664775680. Its totient is φ = 146635828346880.

The previous prime is 241031130020273. The next prime is 241031130020371. The reversal of 241031130020343 is 343020031130142.

It is a happy number.

241031130020343 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 3 + 11 + 300 + 2 + 0 + 343 = 666.

It is not a de Polignac number, because 241031130020343 - 216 = 241031129954807 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241031130020243) 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, 71079659178 + ... + 71079662568.

It is an arithmetic number, because the mean of its divisors is an integer number (3950215258080).

Almost surely, 2241031130020343 is an apocalyptic number.

241031130020343 is a deficient number, since it is larger than the sum of its proper divisors (138189534755337).

241031130020343 is a wasteful number, since it uses less digits than its factorization.

241031130020343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8569 (or 8566 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 241031130020343 its reverse (343020031130142), we get a palindrome (584051161150485).

The spelling of 241031130020343 in words is "two hundred forty-one trillion, thirty-one billion, one hundred thirty million, twenty thousand, three hundred forty-three".

Divisors: 1 3 9 13 39 97 117 291 873 1261 2153 2909 3391 3783 6459 8727 10173 11349 19377 26181 27989 30519 37817 44083 83967 113451 132249 208841 251901 282173 328927 340353 396747 626523 846519 986781 1879569 2539557 2714933 2960343 3668249 4276051 6263077 7300823 8144799 9864419 11004747 12828153 18789231 21902469 24434397 29593257 33014241 38484459 56367693 65707407 81420001 88779771 94910699 128237447 244260003 284732097 384712341 607518469 708179831 732780009 854196291 956848643 1154137023 1822555407 2124539493 2870545929 5467666221 6373618479 7897740097 8611637787 9206337803 12439032359 21238094107 23693220291 27619013409 37317097077 63714282321 71079660873 82857040227 111951291231 191142846963 276095223391 828285670173 2060095128379 2484857010519 6180285385137 18540856155411 26781236668927 80343710006781 241031130020343