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231133134041433 = 341310341910874679
BaseRepresentation
bin110100100011011011100000…
…010110011011000101011001
31010022101010000111221021210000
4310203123200112123011121
5220243341124303311213
62135325032415443213
766453550346315331
oct6443334026330531
91108333014837700
10231133134041433
11677120145a1108
1221b0b196b26509
139bc79b7c54b70
144110c90c1c0c1
151bac483662c73
hexd236e059b159

231133134041433 has 160 divisors (see below), whose sum is σ = 376765201612800. Its totient is φ = 140359399703424.

The previous prime is 231133134041401. The next prime is 231133134041441. The reversal of 231133134041433 is 334140431331132.

231133134041433 is a `hidden beast` number, since 2 + 3 + 1 + 133 + 13 + 40 + 41 + 433 = 666.

It is not a de Polignac number, because 231133134041433 - 25 = 231133134041401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (231133134041333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49397974588 + ... + 49397979266.

It is an arithmetic number, because the mean of its divisors is an integer number (2354782510080).

Almost surely, 2231133134041433 is an apocalyptic number.

It is an amenable number.

231133134041433 is a deficient number, since it is larger than the sum of its proper divisors (145632067571367).

231133134041433 is a wasteful number, since it uses less digits than its factorization.

231133134041433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6313 (or 6304 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 231133134041433 its reverse (334140431331132), we get a palindrome (565273565372565).

The spelling of 231133134041433 in words is "two hundred thirty-one trillion, one hundred thirty-three billion, one hundred thirty-four million, forty-one thousand, four hundred thirty-three".

Divisors: 1 3 9 13 27 39 81 103 117 309 351 419 927 1053 1087 1257 1339 2781 3261 3771 4017 4679 5447 8343 9783 11313 12051 14037 14131 16341 29349 33939 36153 42111 42393 43157 49023 60827 88047 108459 111961 126333 127179 129471 147069 182481 335883 378999 381537 388413 441207 455453 481937 547443 561041 1007649 1144611 1165239 1366359 1445811 1455493 1642329 1683123 1960501 3022947 3495717 4099077 4337433 4366479 4926987 5049369 5086073 5881503 5920889 6265181 9068841 12297231 13012299 13099437 15148107 15258219 17644509 17762667 18795543 25486513 36891693 39036897 39298311 45444321 45774657 46911659 52933527 53288001 56386629 66118949 76459539 117894933 137323971 140734977 158800581 159864003 169159887 198356847 201931603 229378617 411971913 422204931 479592009 507479661 523865519 595070541 605794809 609851567 688135851 1266614793 1571596557 1785211623 1817384427 1829554701 2064407553 2131064587 2625110839 3799844379 4714789671 5355634869 5452153281 5488664103 6393193761 6810251747 7875332517 14144369013 16356459843 16465992309 19179581283 20430755241 23625997551 27703839631 42433107039 49397976927 57538743849 61292265723 70877992653 83111518893 172616231547 183876797169 212633977959 219499652461 249334556679 551630391507 658498957383 748003670037 1975496872149 2244011010111 2853495481993 5926490616447 8560486445979 17779471849341 25681459337937 77044378013811 231133134041433