| Base | Representation |
|---|---|
| bin | 101110101110001010… |
| … | …1010001111001100100 |
| 3 | 100120222101212021002000 |
| 4 | 1131130111101321210 |
| 5 | 3120440313030040 |
| 6 | 114031551245300 |
| 7 | 10151232143100 |
| oct | 1353425217144 |
| 9 | 316871767060 |
| 10 | 100333330020 |
| 11 | 39607604960 |
| 12 | 17541519830 |
| 13 | 95cc8aa141 |
| 14 | 4bdb42c900 |
| 15 | 292362e130 |
| hex | 175c551e64 |
100333330020 has 576 divisors, whose sum is σ = 416992665600. Its totient is φ = 19750106880.
The previous prime is 100333329959. The next prime is 100333330037. The reversal of 100333330020 is 20033333001.
100333330020 is a `hidden beast` number, since 1 + 0 + 0 + 333 + 330 + 0 + 2 + 0 = 666.
It is a super-2 number, since 2×1003333300202 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 100333329975 and 100333330002.
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 191 ways as a sum of consecutive naturals, for example, 5521069 + ... + 5539211.
It is an arithmetic number, because the mean of its divisors is an integer number (723945600).
Almost surely, 2100333330020 is an apocalyptic number.
100333330020 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 100333330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208496332800).
100333330020 is an abundant number, since it is smaller than the sum of its proper divisors (316659335580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100333330020 is a wasteful number, since it uses less digits than its factorization.
100333330020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18205 (or 18190 counting only the distinct ones).
The product of its (nonzero) digits is 486, while the sum is 18.
Adding to 100333330020 its reverse (20033333001), we get a palindrome (120366663021).
The spelling of 100333330020 in words is "one hundred billion, three hundred thirty-three million, three hundred thirty thousand, twenty".
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