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131414104010134 = 211891311399413917
BaseRepresentation
bin11101111000010100111010…
…111111001110110110010110
3122020022001202212012000220101
4131320110322333032312112
5114211042041111311014
61143254450030324314
736452233001363551
oct3570247277166626
9566261685160811
10131414104010134
1138966454834040
12128a4b2565969a
1358433b21b6a8a
1424646959d7698
15102d5b0a34474
hex77853afced96

131414104010134 has 128 divisors (see below), whose sum is σ = 220984753651200. Its totient is φ = 58113314688000.

The previous prime is 131414104010117. The next prime is 131414104010153. The reversal of 131414104010134 is 431010401414131.

It is a super-3 number, since 3×1314141040101343 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33549679944 + ... + 33549683860.

It is an arithmetic number, because the mean of its divisors is an integer number (1726443387900).

Almost surely, 2131414104010134 is an apocalyptic number.

131414104010134 is a deficient number, since it is larger than the sum of its proper divisors (89570649641066).

131414104010134 is a wasteful number, since it uses less digits than its factorization.

131414104010134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5230.

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 131414104010134 its reverse (431010401414131), we get a palindrome (562424505424265).

The spelling of 131414104010134 in words is "one hundred thirty-one trillion, four hundred fourteen billion, one hundred four million, ten thousand, one hundred thirty-four".

Divisors: 1 2 11 22 89 131 139 178 262 278 941 979 1441 1529 1882 1958 2882 3058 3917 7834 10351 11659 12371 18209 20702 23318 24742 36418 43087 83749 86174 123271 128249 130799 136081 167498 200299 246542 256498 261598 272162 348613 400598 513127 544463 697226 921239 1026254 1088926 1355981 1438789 1620601 1842478 2711962 2877578 3241202 3685897 3834743 5644397 5989093 7371794 7669486 10971119 11288794 11641111 11978186 17134669 17826611 21942238 23282222 34269338 35653222 40544867 45668303 48457207 71324653 81089734 91336606 96914414 120682309 128052221 142649306 188481359 241364618 256104442 328044833 376962718 482852507 502351333 512339683 533029277 656089666 784571183 965705014 1004702666 1024679366 1066058554 1524985541 1569142366 3049971082 3608493163 5311377577 5635736513 6347894117 7216986326 10622755154 11271473026 12695788234 16774840951 33549681902 42973873123 45598231787 67116498473 69826835287 85947746246 91196463574 134232996946 139653670574 472712604353 501580549657 738281483203 945425208706 1003161099314 1476562966406 5973368364097 11946736728194 65707052005067 131414104010134