Base | Representation |
---|---|
bin | 110000000111000101… |
… | …1001001111000000000 |
3 | 100212200100012102111020 |
4 | 1200032023021320000 |
5 | 3143043124121120 |
6 | 115244014145440 |
7 | 10315202116134 |
oct | 1401613117000 |
9 | 325610172436 |
10 | 103317020160 |
11 | 3a8a8845482 |
12 | 180347b2280 |
13 | 9986aa0a73 |
14 | 50017cb3c4 |
15 | 2a4a550640 |
hex | 180e2c9e00 |
103317020160 has 160 divisors (see below), whose sum is σ = 330676549632. Its totient is φ = 27519098880.
The previous prime is 103317020123. The next prime is 103317020171. The reversal of 103317020160 is 61020713301.
It is a tau number, because it is divible by the number of its divisors (160).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 103317020160.
It is a congruent number.
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, 6989097 + ... + 7003863.
Almost surely, 2103317020160 is an apocalyptic number.
103317020160 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 103317020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165338274816).
103317020160 is an abundant number, since it is smaller than the sum of its proper divisors (227359529472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103317020160 is an equidigital number, since it uses as much as digits as its factorization.
103317020160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15704 (or 15688 counting only the distinct ones).
The product of its (nonzero) digits is 756, while the sum is 24.
Adding to 103317020160 its reverse (61020713301), we get a palindrome (164337733461).
The spelling of 103317020160 in words is "one hundred three billion, three hundred seventeen million, twenty thousand, one hundred sixty".
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