Base | Representation |
---|---|
bin | 1001000101100011111… |
… | …01011011000010110110 |
3 | 1002211220101020201110020 |
4 | 10202301331123002312 |
5 | 20103413132022402 |
6 | 355233341110010 |
7 | 31362120244530 |
oct | 4426175330266 |
9 | 1084811221406 |
10 | 312223314102 |
11 | 11045aa15087 |
12 | 50616b58306 |
13 | 2359a32144b |
14 | 1117c690850 |
15 | 81c58418bc |
hex | 48b1f5b0b6 |
312223314102 has 128 divisors (see below), whose sum is σ = 730710097920. Its totient is φ = 87097662720.
The previous prime is 312223314101. The next prime is 312223314181. The reversal of 312223314102 is 201413322213.
312223314102 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (312223314101) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302248578 + ... + 302249610.
It is an arithmetic number, because the mean of its divisors is an integer number (5708672640).
Almost surely, 2312223314102 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 312223314102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365355048960).
312223314102 is an abundant number, since it is smaller than the sum of its proper divisors (418486783818).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
312223314102 is a wasteful number, since it uses less digits than its factorization.
312223314102 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1818.
The product of its (nonzero) digits is 1728, while the sum is 24.
Adding to 312223314102 its reverse (201413322213), we get a palindrome (513636636315).
The spelling of 312223314102 in words is "three hundred twelve billion, two hundred twenty-three million, three hundred fourteen thousand, one hundred two".
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