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13128520111385 = 5721743223328721
BaseRepresentation
bin1011111100001011100011…
…0001110001010100011001
31201111002000010202122100212
42333002320301301110121
53210044202122031020
643531054152340505
72523334652462600
oct277027061612431
951432003678325
1013128520111385
114201857385688
12158048a9a4735
1374302508c9c3
143355d0b44a37
1517b782624cc5
hexbf0b8c71519

13128520111385 has 96 divisors (see below), whose sum is σ = 19944726100992. Its totient is φ = 8238680432640.

The previous prime is 13128520111381. The next prime is 13128520111391. The reversal of 13128520111385 is 58311102582131.

13128520111385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13128520111385 - 22 = 13128520111381 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13128520111381) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39773825 + ... + 40102545.

It is an arithmetic number, because the mean of its divisors is an integer number (207757563552).

Almost surely, 213128520111385 is an apocalyptic number.

It is an amenable number.

13128520111385 is a deficient number, since it is larger than the sum of its proper divisors (6816205989607).

13128520111385 is a wasteful number, since it uses less digits than its factorization.

13128520111385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329023 (or 329016 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 41.

The spelling of 13128520111385 in words is "thirteen trillion, one hundred twenty-eight billion, five hundred twenty million, one hundred eleven thousand, three hundred eighty-five".

Divisors: 1 5 7 17 35 43 49 85 119 215 223 245 301 595 731 833 1115 1505 1561 2107 3655 3791 4165 5117 7805 9589 10535 10927 18955 25585 26537 35819 47945 54635 67123 132685 163013 179095 185759 328721 335615 469861 815065 928795 1141091 1643605 2301047 2349305 5588257 5705455 7987637 11505235 14135003 16107329 27941285 39117799 39938185 70675015 73304783 80536645 98945021 195588995 240295051 273824593 366523915 494725105 513133481 692615147 1201475255 1246181311 1369122965 1682065357 2565667405 3152105669 3463075735 3591934367 6230906555 8410326785 8723269177 11774457499 15760528345 17959671835 22064739683 43616345885 53585796373 58872287495 61062884239 110323698415 154453177781 267928981865 305314421195 375100574611 772265888905 1875502873055 2625704022277 13128520111385