| Base | Representation |
|---|---|
| bin | 1011111101011… |
| … | …11001001011000 |
| 3 | 20222210101210110 |
| 4 | 11332233021120 |
| 5 | 201141111440 |
| 6 | 13542244320 |
| 7 | 2325544320 |
| oct | 576571130 |
| 9 | 228711713 |
| 10 | 100332120 |
| 11 | 516a9009 |
| 12 | 297266a0 |
| 13 | 17a2ba25 |
| 14 | d47a280 |
| 15 | 8c1d080 |
| hex | 5faf258 |
100332120 has 128 divisors (see below), whose sum is σ = 355184640. Its totient is φ = 22187520.
The previous prime is 100332119. The next prime is 100332121. The reversal of 100332120 is 21233001.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (100332119) and next prime (100332121).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 100332096 and 100332105.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100332121) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24114 + ... + 27966.
It is an arithmetic number, because the mean of its divisors is an integer number (2774880).
Almost surely, 2100332120 is an apocalyptic number.
100332120 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 100332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177592320).
100332120 is an abundant number, since it is smaller than the sum of its proper divisors (254852520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100332120 is a wasteful number, since it uses less digits than its factorization.
100332120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3905 (or 3901 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 100332120 is about 10016.5922348871. The cubic root of 100332120 is about 464.6721703648.
Adding to 100332120 its reverse (21233001), we get a palindrome (121565121).
The spelling of 100332120 in words is "one hundred million, three hundred thirty-two thousand, one hundred twenty".
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