Base | Representation |
---|---|
bin | 110000011011100001… |
… | …0001010110000010000 |
3 | 100221110010002221122102 |
4 | 1200313002022300100 |
5 | 3200444121432240 |
6 | 115440023055532 |
7 | 10341164631053 |
oct | 1406702126020 |
9 | 327403087572 |
10 | 104002530320 |
11 | 4011a7983a7 |
12 | 181a62a15a8 |
13 | 9a65b08a90 |
14 | 5068872a9a |
15 | 2a8a80e815 |
hex | 183708ac10 |
104002530320 has 80 divisors (see below), whose sum is σ = 260654535792. Its totient is φ = 38364334080.
The previous prime is 104002530319. The next prime is 104002530347. The reversal of 104002530320 is 23035200401.
It is a happy number.
104002530320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 4128833536 + 99873696784 = 64256^2 + 316028^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 104002530292 and 104002530301.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1056314 + ... + 1150566.
Almost surely, 2104002530320 is an apocalyptic number.
104002530320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 104002530320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130327267896).
104002530320 is an abundant number, since it is smaller than the sum of its proper divisors (156652005472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
104002530320 is a wasteful number, since it uses less digits than its factorization.
104002530320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 95340 (or 95334 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 20.
Adding to 104002530320 its reverse (23035200401), we get a palindrome (127037730721).
The spelling of 104002530320 in words is "one hundred four billion, two million, five hundred thirty thousand, three hundred twenty".
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