| Base | Representation |
|---|---|
| bin | 1011111011110… |
| … | …11010111100000 |
| 3 | 20222101121212100 |
| 4 | 11331323113200 |
| 5 | 201112320112 |
| 6 | 13533530400 |
| 7 | 2324002065 |
| oct | 575732740 |
| 9 | 228347770 |
| 10 | 100120032 |
| 11 | 51573731 |
| 12 | 29643a00 |
| 13 | 1798632c |
| 14 | d422c6c |
| 15 | 8bca2dc |
| hex | 5f7b5e0 |
100120032 has 144 divisors (see below), whose sum is σ = 298574640. Its totient is φ = 31795200.
The previous prime is 100120003. The next prime is 100120037. The reversal of 100120032 is 230021001.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 100119996 and 100120023.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100120037) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720219 + ... + 720357.
It is an arithmetic number, because the mean of its divisors is an integer number (2073435).
Almost surely, 2100120032 is an apocalyptic number.
100120032 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 100120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149287320).
100120032 is an abundant number, since it is smaller than the sum of its proper divisors (198454608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100120032 is a wasteful number, since it uses less digits than its factorization.
100120032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 257 (or 246 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 100120032 is about 10005.9998001199. Note that the first 3 decimals coincide. The cubic root of 100120032 is about 464.3445221694.
Adding to 100120032 its reverse (230021001), we get a palindrome (330141033).
The spelling of 100120032 in words is "one hundred million, one hundred twenty thousand, thirty-two".
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