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321040135350431 = 717318310718154139
BaseRepresentation
bin100100011111110111111101…
…1001110011110100010011111
31120002201010201000120120101022
41020333233323032132202133
5314034410144122203211
63054443445132434355
7124423245556225340
oct11077577316364237
91502633630516338
10321040135350431
11933253a19a7252
123000b88b9189bb
1310a19c54aa6843
14593c5d565c0c7
15271aecd77bbdb
hex123fbfb39e89f

321040135350431 has 128 divisors (see below), whose sum is σ = 411912670740480. Its totient is φ = 243942189926400.

The previous prime is 321040135350427. The next prime is 321040135350469. The reversal of 321040135350431 is 134053531040123.

It is not a de Polignac number, because 321040135350431 - 22 = 321040135350427 is a prime.

It is a super-2 number, since 2×3210401353504312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321040135350391 and 321040135350400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321040135350731) 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, 5929896560 + ... + 5929950698.

It is an arithmetic number, because the mean of its divisors is an integer number (3218067740160).

Almost surely, 2321040135350431 is an apocalyptic number.

321040135350431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

321040135350431 is a deficient number, since it is larger than the sum of its proper divisors (90872535390049).

321040135350431 is a wasteful number, since it uses less digits than its factorization.

321040135350431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54565.

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 321040135350431 its reverse (134053531040123), we get a palindrome (455093666390554).

The spelling of 321040135350431 in words is "three hundred twenty-one trillion, forty billion, one hundred thirty-five million, three hundred fifty thousand, four hundred thirty-one".

Divisors: 1 7 17 31 83 107 119 181 217 527 581 749 1267 1411 1819 2573 3077 3317 3689 5611 8881 9877 12733 15023 18011 19367 21539 23219 39277 43741 54139 56389 62167 95387 105161 135569 150977 255391 275311 306187 329239 378973 394723 465713 600377 667709 920363 1056839 1607461 1678309 1787737 1927177 2304673 3259991 4202639 4493537 4680287 5792873 6442541 7917121 9799159 10206409 11252227 11748163 27326837 28531253 31454759 32762009 40550111 49831291 55419847 68594113 71444863 76390129 98478841 139299647 166585703 179579063 191287859 199718771 303773929 348819037 480808459 534730903 689351887 813330197 847131947 975097529 1048510013 1166099921 1257053441 2126417503 2368093999 3052844071 3365659213 5164156793 5693311379 5929923629 7339570091 8173743803 13826613349 14905062229 16576657993 17824670221 21369908497 25213236107 32503810403 36149097551 57216206621 87026331079 96786293443 104335435603 124772691547 176492652749 227526672821 253386057893 428625013819 552564776851 609184317553 1479447628343 1773702405251 2697816263449 3000375096733 3867953437957 10356133398401 18884713844143 45862876478633 321040135350431