Base | Representation |
---|---|
bin | 101111101010111011… |
… | …0000011101110000000 |
3 | 100210020110220200122210 |
4 | 1133111312003232000 |
5 | 3134124210401244 |
6 | 115010134302120 |
7 | 10252605231522 |
oct | 1372566035600 |
9 | 323213820583 |
10 | 102371965824 |
11 | 3a463340137 |
12 | 17a101b7940 |
13 | 986606110b |
14 | 4d520a3a12 |
15 | 29e25c44b9 |
hex | 17d5d83b80 |
102371965824 has 64 divisors (see below), whose sum is σ = 272635914240. Its totient is φ = 34034843136.
The previous prime is 102371965807. The next prime is 102371965963. The reversal of 102371965824 is 428569173201.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200962 + ... + 495105.
It is an arithmetic number, because the mean of its divisors is an integer number (4259936160).
It is a 1-persistent number, because it is pandigital, but 2⋅102371965824 = 204743931648 is not.
Almost surely, 2102371965824 is an apocalyptic number.
It is an amenable number.
102371965824 is an abundant number, since it is smaller than the sum of its proper divisors (170263948416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102371965824 is an equidigital number, since it uses as much as digits as its factorization.
102371965824 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 696467 (or 696455 counting only the distinct ones).
The product of its (nonzero) digits is 725760, while the sum is 48.
The spelling of 102371965824 in words is "one hundred two billion, three hundred seventy-one million, nine hundred sixty-five thousand, eight hundred twenty-four".
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