Base | Representation |
---|---|
bin | 101111000110010101… |
… | …1011010111000001100 |
3 | 100200001221002221020200 |
4 | 1132030223122320030 |
5 | 3124120434042312 |
6 | 114244244213500 |
7 | 10210311362145 |
oct | 1361453327014 |
9 | 320057087220 |
10 | 101144440332 |
11 | 39993444061 |
12 | 1772909a290 |
13 | 96cb950080 |
14 | 4c7704aacc |
15 | 296e94d0dc |
hex | 178cadae0c |
101144440332 has 144 divisors (see below), whose sum is σ = 282218926080. Its totient is φ = 30351936384.
The previous prime is 101144440223. The next prime is 101144440361. The reversal of 101144440332 is 233044441101.
It is a junction number, because it is equal to n+sod(n) for n = 101144440296 and 101144440305.
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 47 ways as a sum of consecutive naturals, for example, 3492303 + ... + 3521145.
Almost surely, 2101144440332 is an apocalyptic number.
101144440332 is a gapful number since it is divisible by the number (12) 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 101144440332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141109463040).
101144440332 is an abundant number, since it is smaller than the sum of its proper divisors (181074485748).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101144440332 is a wasteful number, since it uses less digits than its factorization.
101144440332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 29052 (or 29047 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
Adding to 101144440332 its reverse (233044441101), we get a palindrome (334188881433).
The spelling of 101144440332 in words is "one hundred one billion, one hundred forty-four million, four hundred forty thousand, three hundred thirty-two".
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