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103417777780405 = 511173133195311311
BaseRepresentation
bin10111100000111011010011…
…111010000111011010110101
3111120011122100202011222202221
4113200323103322013122311
5102023344102102433110
61003541245442002341
730532454641013044
oct2740732372073265
9446148322158687
10103417777780405
112aa52262508850
12b7230846463b1
13459234047a96a
141b77638db055b
15be520151c7da
hex5e0ed3e876b5

103417777780405 has 128 divisors (see below), whose sum is σ = 148587006984192. Its totient is φ = 68220472320000.

The previous prime is 103417777780403. The next prime is 103417777780417. The reversal of 103417777780405 is 504087777714301.

It is not a de Polignac number, because 103417777780405 - 21 = 103417777780403 is a prime.

It is a super-2 number, since 2×1034177777804052 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103417777780403) 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, 9143109700 + ... + 9143121010.

It is an arithmetic number, because the mean of its divisors is an integer number (1160835992064).

Almost surely, 2103417777780405 is an apocalyptic number.

It is an amenable number.

103417777780405 is a deficient number, since it is larger than the sum of its proper divisors (45169229203787).

103417777780405 is a wasteful number, since it uses less digits than its factorization.

103417777780405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12659.

The product of its (nonzero) digits is 32269440, while the sum is 61.

The spelling of 103417777780405 in words is "one hundred three trillion, four hundred seventeen billion, seven hundred seventy-seven million, seven hundred eighty thousand, four hundred five".

Divisors: 1 5 11 17 31 55 85 155 187 331 341 527 935 953 1655 1705 2635 3641 4765 5627 5797 10261 10483 11311 16201 18205 28135 28985 29543 51305 52415 56555 61897 81005 112871 124421 147715 174437 178211 192287 309485 315443 324973 350641 502231 564355 622105 872185 891055 961435 1577215 1624865 1753205 1918807 2115157 2511155 3469873 3743941 3857051 5362531 5524541 5960897 9594035 9778733 10575785 10779383 17349365 18719705 19285255 26812655 27622705 29804485 41183351 48893665 53896915 58987841 63646997 65569867 107566063 116062171 118573213 166238461 183249511 205916755 294939205 318234985 327849335 334160873 537830315 580310855 592866065 700116967 831192305 916247555 1276683881 1670804365 1828623071 1973056907 2015744621 3500584835 3567975773 3675769603 5680734841 6383419405 9143115355 9865284535 10078723105 17839878865 18378848015 21703625977 28403674205 39247733503 60655588141 62488083251 108518129885 110607248963 196238667515 303277940705 312440416255 553036244815 667211469551 1216679738593 1880323232371 3336057347755 6083398692965 9401616161855 20683555556081 103417777780405