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102842185923 = 335983777817
BaseRepresentation
bin101111111000111011…
…1110011100011000011
3100211110020201100101000
41133301313303203003
53141110044422143
6115124532543043
710300345104561
oct1376167634303
9324406640330
10102842185923
113a684807494
1217b21781a83
13990c5ba469
144d98706a31
152a1da08bd3
hex17f1df38c3

102842185923 has 32 divisors (see below), whose sum is σ = 156808108800. Its totient is φ = 66587272128.

The previous prime is 102842185921. The next prime is 102842185961. The reversal of 102842185923 is 329581248201.

102842185923 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 42 + 18 + 592 + 3 = 666.

It is not a de Polignac number, because 102842185923 - 21 = 102842185921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102842185921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256690 + ... + 521127.

It is an arithmetic number, because the mean of its divisors is an integer number (4900253400).

Almost surely, 2102842185923 is an apocalyptic number.

102842185923 is a deficient number, since it is larger than the sum of its proper divisors (53965922877).

102842185923 is an equidigital number, since it uses as much as digits as its factorization.

102842185923 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777968 (or 777962 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 102842185923 in words is "one hundred two billion, eight hundred forty-two million, one hundred eighty-five thousand, nine hundred twenty-three".

Divisors: 1 3 9 27 59 83 177 249 531 747 1593 2241 4897 14691 44073 132219 777817 2333451 7000353 21001059 45891203 64558811 137673609 193676433 413020827 581029299 1239062481 1743087897 3808969849 11426909547 34280728641 102842185923