| Base | Representation |
|---|---|
| bin | 101110100111100100… |
| … | …1011001001000101000 |
| 3 | 100120101222121010102101 |
| 4 | 1131033021121020220 |
| 5 | 3120012200010440 |
| 6 | 113554005543144 |
| 7 | 10142604616111 |
| oct | 1351711311050 |
| 9 | 316358533371 |
| 10 | 100112110120 |
| 11 | 395037490a0 |
| 12 | 1749b414ab4 |
| 13 | 9595b033a9 |
| 14 | 4bb9cc5208 |
| 15 | 290ded269a |
| hex | 174f259228 |
100112110120 has 256 divisors, whose sum is σ = 261482618880. Its totient is φ = 34139212800.
The previous prime is 100112110081. The next prime is 100112110121. The reversal of 100112110120 is 21011211001.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 100112110097 and 100112110106.
It is not an unprimeable number, because it can be changed into a prime (100112110121) 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 63 ways as a sum of consecutive naturals, for example, 199029789 + ... + 199030291.
It is an arithmetic number, because the mean of its divisors is an integer number (1021416480).
Almost surely, 2100112110120 is an apocalyptic number.
100112110120 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 100112110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130741309440).
100112110120 is an abundant number, since it is smaller than the sum of its proper divisors (161370508760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100112110120 is a wasteful number, since it uses less digits than its factorization.
100112110120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 896 (or 892 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 10.
Adding to 100112110120 its reverse (21011211001), we get a palindrome (121123321121).
It can be divided in two parts, 1001 and 12110120, that added together give a palindrome (12111121).
The spelling of 100112110120 in words is "one hundred billion, one hundred twelve million, one hundred ten thousand, one hundred twenty".
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