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331213140000241 = 293725738914712099
BaseRepresentation
bin100101101001111001001000…
…1100011011111110111110001
31121102201200000012120122000021
41023103302101203133313301
5321403044002320001431
63132233114351523441
7126523234242061042
oct11323622143376761
91542650005518007
10331213140000241
11965977819042a4
12311933aa529581
13112a735a50ac25
145bb0b314ba8c9
152845931bcbb11
hex12d3c918dfdf1

331213140000241 has 64 divisors (see below), whose sum is σ = 354581660160000. Its totient is φ = 308784179773440.

The previous prime is 331213140000233. The next prime is 331213140000247. The reversal of 331213140000241 is 142000041312133.

It is a cyclic number.

It is not a de Polignac number, because 331213140000241 - 23 = 331213140000233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331213140000247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157795682610 + ... + 157795684708.

It is an arithmetic number, because the mean of its divisors is an integer number (5540338440000).

Almost surely, 2331213140000241 is an apocalyptic number.

It is an amenable number.

331213140000241 is a deficient number, since it is larger than the sum of its proper divisors (23368520159759).

331213140000241 is a wasteful number, since it uses less digits than its factorization.

331213140000241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282.

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

Adding to 331213140000241 its reverse (142000041312133), we get a palindrome (473213181312374).

The spelling of 331213140000241 in words is "three hundred thirty-one trillion, two hundred thirteen billion, one hundred forty million, two hundred forty-one", and thus it is an aban number.

Divisors: 1 29 37 257 389 1073 1471 2099 7453 9509 11281 14393 42659 54427 60871 77663 99973 275761 378047 417397 539443 572219 816511 1578383 2252227 2899217 3087629 3699001 10963363 13987739 15643847 16594351 19959391 21172103 23678819 30210907 89541241 107271029 114242273 147060283 209843327 405644431 578822339 613990987 793520653 876116303 1201087681 3313025917 4264748207 5441230471 6085456483 7764203099 23012098937 29360264161 34831542749 44440244197 157795683659 225161889871 308679534017 851447660669 1288767081713 8951706486493 11421142758629 331213140000241