| Base | Representation |
|---|---|
| bin | 1011101101100101001… |
| … | …0111000011000001000 |
| 3 | 201020100221211101222010 |
| 4 | 2323121102320120020 |
| 5 | 11244041302213000 |
| 6 | 232234140255520 |
| 7 | 20352162432033 |
| oct | 2733122703010 |
| 9 | 636327741863 |
| 10 | 201214101000 |
| 11 | 78375129260 |
| 12 | 32bb62415a0 |
| 13 | 15c88a0ca33 |
| 14 | 9a4b44201a |
| 15 | 5379d47d50 |
| hex | 2ed94b8608 |
201214101000 has 512 divisors, whose sum is σ = 707691479040. Its totient is φ = 47174400000.
The previous prime is 201214100977. The next prime is 201214101007. The reversal of 201214101000 is 101412102.
It is a happy number.
201214101000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2012141010002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (201214101007) 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 127 ways as a sum of consecutive naturals, for example, 171830415 + ... + 171831585.
It is an arithmetic number, because the mean of its divisors is an integer number (1382209920).
Almost surely, 2201214101000 is an apocalyptic number.
201214101000 is a gapful number since it is divisible by the number (20) 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 201214101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353845739520).
201214101000 is an abundant number, since it is smaller than the sum of its proper divisors (506477378040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201214101000 is a wasteful number, since it uses less digits than its factorization.
201214101000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1374 (or 1360 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
Adding to 201214101000 its reverse (101412102), we get a palindrome (201315513102).
The spelling of 201214101000 in words is "two hundred one billion, two hundred fourteen million, one hundred one thousand".
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