Base | Representation |
---|---|
bin | 111011101001010… |
… | …1111100100000000 |
3 | 12011110222202120011 |
4 | 1313102233210000 |
5 | 13044324331422 |
6 | 530332554304 |
7 | 100411431403 |
oct | 16722574400 |
9 | 5143882504 |
10 | 2001402112 |
11 | 937815036 |
12 | 47a322994 |
13 | 25b848608 |
14 | 14db41d3a |
15 | baa8d077 |
hex | 774af900 |
2001402112 has 72 divisors (see below), whose sum is σ = 4310293176. Its totient is φ = 923959296.
The previous prime is 2001402097. The next prime is 2001402127. The reversal of 2001402112 is 2112041002.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (2001402097) and next prime (2001402127).
It can be written as a sum of positive squares in 4 ways, for example, as 513294336 + 1488107776 = 22656^2 + 38576^2 .
It is a super-2 number, since 2×20014021122 = 8011220827836121088, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 2001402092 and 2001402101.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226318 + ... + 234994.
It is an arithmetic number, because the mean of its divisors is an integer number (59865183).
Almost surely, 22001402112 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2001402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155146588).
2001402112 is an abundant number, since it is smaller than the sum of its proper divisors (2308891064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2001402112 is an equidigital number, since it uses as much as digits as its factorization.
2001402112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8763 (or 8749 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 13.
The square root of 2001402112 is about 44737.0328922248. The cubic root of 2001402112 is about 1260.2154061894.
Adding to 2001402112 its reverse (2112041002), we get a palindrome (4113443114).
The spelling of 2001402112 in words is "two billion, one million, four hundred two thousand, one hundred twelve".
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