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104135321442405 = 351122994710392801
BaseRepresentation
bin10111101011010111100100…
…110101111101100001100101
3111122201020110121011202111010
4113223113210311331201211
5102122123114242124110
61005251034540532433
730635346225344151
oct2753274465754145
9448636417152433
10104135321442405
11301a95a6174360
12b81a158551119
134614bc343c696
141ba0268274061
15c08bea88c020
hex5eb5e4d7d865

104135321442405 has 128 divisors (see below), whose sum is σ = 182991168921600. Its totient is φ = 50150048256000.

The previous prime is 104135321442403. The next prime is 104135321442473. The reversal of 104135321442405 is 504244123531401.

It is not a de Polignac number, because 104135321442405 - 21 = 104135321442403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104135321442401) 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, 37177907005 + ... + 37177909805.

It is an arithmetic number, because the mean of its divisors is an integer number (1429618507200).

Almost surely, 2104135321442405 is an apocalyptic number.

104135321442405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104135321442405 is a deficient number, since it is larger than the sum of its proper divisors (78855847479195).

104135321442405 is a wasteful number, since it uses less digits than its factorization.

104135321442405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5035.

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 104135321442405 its reverse (504244123531401), we get a palindrome (608379444973806).

The spelling of 104135321442405 in words is "one hundred four trillion, one hundred thirty-five billion, three hundred twenty-one million, four hundred forty-two thousand, four hundred five".

Divisors: 1 3 5 11 15 33 55 165 229 687 947 1039 1145 2519 2801 2841 3117 3435 4735 5195 7557 8403 10417 11429 12595 14005 14205 15585 30811 31251 34287 37785 42015 52085 57145 92433 154055 156255 171435 216863 237931 462165 641429 650589 713793 983933 1084315 1189655 1924287 2385493 2617241 2652547 2910239 2951799 3207145 3252945 3568965 4919665 7055719 7156479 7851723 7957641 8730717 9621435 10823263 11927465 13086205 13262735 14551195 14758995 21167157 29178017 32012629 32469789 35278595 35782395 39258615 39788205 43653585 54116315 87534051 96037887 105835785 145890085 160063145 162348945 225320657 437670255 480189435 607433263 666444731 675961971 1126603285 1822299789 1999334193 2478527227 2755996333 3037166315 3332223655 3379809855 6681765893 7330892041 7435581681 8267988999 9111498945 9996670965 12392636135 13779981665 20045297679 21992676123 30315959663 33408829465 36654460205 37177908405 41339944995 90947878989 100226488395 109963380615 151579798315 454739394945 631123160257 1893369480771 3155615801285 6942354762827 9466847403855 20827064288481 34711773814135 104135321442405