Base | Representation |
---|---|
bin | 101110100111100101… |
… | …0001100111010011000 |
3 | 100120101222222220100012 |
4 | 1131033022030322120 |
5 | 3120012223302300 |
6 | 113554014301052 |
7 | 10142606461322 |
oct | 1351712147230 |
9 | 316358886305 |
10 | 100112322200 |
11 | 39503883470 |
12 | 1749b4b7788 |
13 | 9595b78a97 |
14 | 4bb9d3c612 |
15 | 290e025435 |
hex | 174f28ce98 |
100112322200 has 192 divisors, whose sum is σ = 256729461120. Its totient is φ = 36003968000.
The previous prime is 100112322199. The next prime is 100112322209. The reversal of 100112322200 is 2223211001.
It is a happy number.
It is a super-2 number, since 2×1001123222002 (a number of 23 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100112322209) 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, 162256292 + ... + 162256908.
It is an arithmetic number, because the mean of its divisors is an integer number (1337132610).
Almost surely, 2100112322200 is an apocalyptic number.
100112322200 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 100112322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128364730560).
100112322200 is an abundant number, since it is smaller than the sum of its proper divisors (156617138920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100112322200 is a wasteful number, since it uses less digits than its factorization.
100112322200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1338 (or 1329 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 14.
Adding to 100112322200 its reverse (2223211001), we get a palindrome (102335533201).
The spelling of 100112322200 in words is "one hundred billion, one hundred twelve million, three hundred twenty-two thousand, two hundred".
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