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102432145005 = 3252354996661
BaseRepresentation
bin101111101100101101…
…1100111111001101101
3100210101200011002222100
41133121123213321231
53134240112120010
6115020124205313
710254235603161
oct1373133477155
9323350132870
10102432145005
113a4943036a3
1217a28399839
1398756717b8
144d5a08aca1
1529e7a102c0
hex17d96e7e6d

102432145005 has 24 divisors (see below), whose sum is σ = 177558427800. Its totient is φ = 54627592320.

The previous prime is 102432144989. The next prime is 102432145043. The reversal of 102432145005 is 500541234201.

102432145005 is a `hidden beast` number, since 102 + 43 + 2 + 14 + 500 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2527475076 + 99904669929 = 50274^2 + 316077^2 .

It is not a de Polignac number, because 102432145005 - 24 = 102432144989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102432145005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1011375 + ... + 1108035.

It is an arithmetic number, because the mean of its divisors is an integer number (7398267825).

Almost surely, 2102432145005 is an apocalyptic number.

102432145005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102432145005 is a deficient number, since it is larger than the sum of its proper divisors (75126282795).

102432145005 is a wasteful number, since it uses less digits than its factorization.

102432145005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120221 (or 120218 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 102432145005 its reverse (500541234201), we get a palindrome (602973379206).

The spelling of 102432145005 in words is "one hundred two billion, four hundred thirty-two million, one hundred forty-five thousand, five".

Divisors: 1 3 5 9 15 45 23549 70647 96661 117745 211941 289983 353235 483305 869949 1059705 1449915 4349745 2276269889 6828809667 11381349445 20486429001 34144048335 102432145005