Base | Representation |
---|---|
bin | 11000100111111101… |
… | …01011110000110010 |
3 | 1021010022221201111200 |
4 | 30103332223300302 |
5 | 204033321214140 |
6 | 10023452352030 |
7 | 645415002003 |
oct | 142376536062 |
9 | 37108851450 |
10 | 13220101170 |
11 | 5674447751 |
12 | 268b475616 |
13 | 1328b76493 |
14 | 8d5aa11aa |
15 | 52592c030 |
hex | 313fabc32 |
13220101170 has 96 divisors (see below), whose sum is σ = 36991047600. Its totient is φ = 3263569920.
The previous prime is 13220101127. The next prime is 13220101171. The reversal of 13220101170 is 7110102231.
It is a happy number.
13220101170 is digitally balanced in base 5, 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 7693219521 + 5526881649 = 87711^2 + 74343^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (13220101171) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 22506 + ... + 164154.
Almost surely, 213220101170 is an apocalyptic number.
13220101170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 13220101170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18495523800).
13220101170 is an abundant number, since it is smaller than the sum of its proper divisors (23770946430).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13220101170 is a wasteful number, since it uses less digits than its factorization.
13220101170 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 141740 (or 141737 counting only the distinct ones).
The product of its (nonzero) digits is 84, while the sum is 18.
The spelling of 13220101170 in words is "thirteen billion, two hundred twenty million, one hundred one thousand, one hundred seventy".
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