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107882131474299 = 37131759933724061
BaseRepresentation
bin11000100001111001000100…
…000111111100011101111011
3112010222102122020021102201010
4120201321010013330131323
5103120020101124134144
61021240211135125003
731503140534212050
oct3041710407743573
9463872566242633
10107882131474299
11314136118104a6
1210124343673763
13482731a310930
141c8d747269027
15c713dd9625b9
hex621e441fc77b

107882131474299 has 64 divisors (see below), whose sum is σ = 177164324986880. Its totient is φ = 56864055352320.

The previous prime is 107882131474261. The next prime is 107882131474333. The reversal of 107882131474299 is 992474131288701.

It is a happy number.

It is not a de Polignac number, because 107882131474299 - 28 = 107882131474043 is a prime.

It is not an unprimeable number, because it can be changed into a prime (107882131474199) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4483680729 + ... + 4483704789.

It is an arithmetic number, because the mean of its divisors is an integer number (2768192577920).

Almost surely, 2107882131474299 is an apocalyptic number.

107882131474299 is a deficient number, since it is larger than the sum of its proper divisors (69282193512581).

107882131474299 is a wasteful number, since it uses less digits than its factorization.

107882131474299 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35180.

The product of its (nonzero) digits is 48771072, while the sum is 66.

The spelling of 107882131474299 in words is "one hundred seven trillion, eight hundred eighty-two billion, one hundred thirty-one million, four hundred seventy-four thousand, two hundred ninety-nine".

Divisors: 1 3 7 13 21 39 91 273 1759 5277 9337 12313 22867 24061 28011 36939 65359 68601 72183 121381 160069 168427 196077 312793 364143 480207 505281 849667 938379 2189551 2549001 6568653 16423783 42323299 49271349 114966481 126969897 213509179 224657557 296263093 344899443 550202887 640527537 673972671 888789279 1494564253 1572602899 1650608661 2920548241 3851420209 4483692759 4717808697 8761644723 11554260627 20443837687 61331513061 395172642763 1185517928289 2766208499341 5137244355919 8298625498023 15411733067757 35960710491433 107882131474299