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13430504214351 = 33710121122914561
BaseRepresentation
bin1100001101110000100001…
…1011101100111101001111
31202112221110221010112201000
43003130020123230331033
53230021133034324401
644321515523551343
72554215262140060
oct303341033547517
952487427115630
1013430504214351
1143089325508a4
12160ab0882b553
1376564cc8ac23
1434607b5a4567
151845590a6186
hexc37086ecf4f

13430504214351 has 128 divisors (see below), whose sum is σ = 23175807436800. Its totient is φ = 7529034240000.

The previous prime is 13430504214289. The next prime is 13430504214383. The reversal of 13430504214351 is 15341240503431.

13430504214351 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 0 + 504 + 2 + 143 + 5 + 1 = 666.

It is not a de Polignac number, because 13430504214351 - 221 = 13430502117199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13430504213351) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 922354111 + ... + 922368671.

It is an arithmetic number, because the mean of its divisors is an integer number (181060995600).

Almost surely, 213430504214351 is an apocalyptic number.

13430504214351 is a deficient number, since it is larger than the sum of its proper divisors (9745303222449).

13430504214351 is a wasteful number, since it uses less digits than its factorization.

13430504214351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15118 (or 15112 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 13430504214351 its reverse (15341240503431), we get a palindrome (28771744717782).

The spelling of 13430504214351 in words is "thirteen trillion, four hundred thirty billion, five hundred four million, two hundred fourteen thousand, three hundred fifty-one".

Divisors: 1 3 7 9 21 27 63 101 189 211 229 303 633 687 707 909 1477 1603 1899 2061 2121 2727 4431 4809 5697 6183 6363 13293 14427 14561 19089 21311 23129 39879 43281 43683 48319 63933 69387 101927 131049 144957 149177 161903 191799 208161 305781 338233 393147 434871 447531 485709 575397 624483 917343 1014699 1304613 1342593 1457127 1470661 2752029 3044097 3072371 3334469 4027779 4371381 4411983 4880219 9132291 9217113 10003407 10294627 13235949 14640657 21506597 23341283 27651339 30010221 30883881 34161533 39707847 43921971 64519791 70023849 82954017 90030663 92651643 102484599 131765913 193559373 210071547 277954929 307453797 310309471 336781369 580678119 630214641 703572959 922361391 930928413 1010344107 2110718877 2172166297 2357469583 2792785239 3031032321 4925010713 6332156631 6516498891 7072408749 8378355717 9093096963 14775032139 18996469893 19549496673 21217226247 44325096417 58648490019 63651678741 71060868859 132975289251 213182606577 497426082013 639547819731 1492278246039 1918643459193 4476834738117 13430504214351