Base | Representation |
---|---|
bin | 1001000101010111110… |
… | …11010101010100111100 |
3 | 1002211122022210200001121 |
4 | 10202223323111110330 |
5 | 20103211224244400 |
6 | 355215323520324 |
7 | 31356451046653 |
oct | 4425373252474 |
9 | 1084568720047 |
10 | 312122103100 |
11 | 110408876825 |
12 | 505a90890a4 |
13 | 23582375692 |
14 | 1116d06619a |
15 | 81bb9ed21a |
hex | 48abed553c |
312122103100 has 72 divisors (see below), whose sum is σ = 683000035200. Its totient is φ = 123802987200.
The previous prime is 312122103067. The next prime is 312122103127. The reversal of 312122103100 is 1301221213.
It is a super-2 number, since 2×3121221031002 (a number of 24 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6401815 + ... + 6450385.
It is an arithmetic number, because the mean of its divisors is an integer number (9486111600).
Almost surely, 2312122103100 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 312122103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341500017600).
312122103100 is an abundant number, since it is smaller than the sum of its proper divisors (370877932100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
312122103100 is a wasteful number, since it uses less digits than its factorization.
312122103100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 49123 (or 49116 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 16.
Adding to 312122103100 its reverse (1301221213), we get a palindrome (313423324313).
It can be divided in two parts, 31212 and 2103100, that added together give a palindrome (2134312).
The spelling of 312122103100 in words is "three hundred twelve billion, one hundred twenty-two million, one hundred three thousand, one hundred".
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