Base | Representation |
---|---|
bin | 10010101110000101… |
… | …011100011110011010 |
3 | 1220212211200211101200 |
4 | 102232011130132122 |
5 | 312131214011442 |
6 | 13122320055030 |
7 | 1311052463316 |
oct | 225605343632 |
9 | 56784624350 |
10 | 20100532122 |
11 | 8585254320 |
12 | 3a8b764476 |
13 | 1b844766b8 |
14 | d897b4b46 |
15 | 7c99c834c |
hex | 4ae15c79a |
20100532122 has 96 divisors (see below), whose sum is σ = 49207302144. Its totient is φ = 5874832800.
The previous prime is 20100532093. The next prime is 20100532129. The reversal of 20100532122 is 22123500102.
20100532122 is a `hidden beast` number, since 2 + 0 + 10 + 0 + 532 + 122 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 20100532095 and 20100532104.
It is not an unprimeable number, because it can be changed into a prime (20100532129) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1879033 + ... + 1889699.
It is an arithmetic number, because the mean of its divisors is an integer number (512576064).
Almost surely, 220100532122 is an apocalyptic number.
20100532122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 20100532122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24603651072).
20100532122 is an abundant number, since it is smaller than the sum of its proper divisors (29106770022).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20100532122 is a wasteful number, since it uses less digits than its factorization.
20100532122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11024 (or 11021 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The spelling of 20100532122 in words is "twenty billion, one hundred million, five hundred thirty-two thousand, one hundred twenty-two".
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