| Base | Representation |
|---|---|
| bin | 101110101110000100… |
| … | …0100111010110010000 |
| 3 | 100120222011121120212022 |
| 4 | 1131130020213112100 |
| 5 | 3120433440310000 |
| 6 | 114031352151012 |
| 7 | 10151162004533 |
| oct | 1353410472620 |
| 9 | 316864546768 |
| 10 | 100330010000 |
| 11 | 39605747540 |
| 12 | 17540398468 |
| 13 | 95cbcb6c2c |
| 14 | 4bdac06a1a |
| 15 | 29231c5585 |
| hex | 175c227590 |
100330010000 has 200 divisors, whose sum is σ = 267751966944. Its totient is φ = 36103680000.
The previous prime is 100330009999. The next prime is 100330010087. The reversal of 100330010000 is 10033001.
It is a tau number, because it is divible by the number of its divisors (200).
It is a super-2 number, since 2×1003300100002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a self number, because there is not a number n which added to its sum of digits gives 100330010000.
It is an unprimeable number.
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 39 ways as a sum of consecutive naturals, for example, 10665299 + ... + 10674701.
Almost surely, 2100330010000 is an apocalyptic number.
100330010000 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 100330010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133875983472).
100330010000 is an abundant number, since it is smaller than the sum of its proper divisors (167421956944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100330010000 is an equidigital number, since it uses as much as digits as its factorization.
100330010000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9539 (or 9518 counting only the distinct ones).
The product of its (nonzero) digits is 9, while the sum is 8.
Adding to 100330010000 its reverse (10033001), we get a palindrome (100340043001).
100330010000 divided by its reverse (10033001) gives a 4-th power (10000 = 104).
It can be divided in two parts, 1003 and 30010000, that added together give a palindrome (30011003).
The spelling of 100330010000 in words is "one hundred billion, three hundred thirty million, ten thousand".
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