Base | Representation |
---|---|
bin | 101101001000010100011… |
… | …110111001000111101000 |
3 | 101222111000121222001110000 |
4 | 231020110132321013220 |
5 | 401302440331432222 |
6 | 10332415553023000 |
7 | 440030232206664 |
oct | 55102436710750 |
9 | 11874017861400 |
10 | 3101310030312 |
11 | a9629272aa5a |
12 | 42107a554a60 |
13 | 1965b5879bc0 |
14 | aa165d298a4 |
15 | 55a139a09ac |
hex | 2d2147b91e8 |
3101310030312 has 160 divisors (see below), whose sum is σ = 9375581061000. Its totient is φ = 952122802176.
The previous prime is 3101310030263. The next prime is 3101310030349. The reversal of 3101310030312 is 2130300131013.
It is a happy number.
3101310030312 is a `hidden beast` number, since 3 + 10 + 1 + 310 + 0 + 30 + 312 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 2530943719236 + 570366311076 = 1590894^2 + 755226^2 .
It is a super-3 number, since 3×31013100303123 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3372408 + ... + 4192344.
Almost surely, 23101310030312 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 3101310030312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4687790530500).
3101310030312 is an abundant number, since it is smaller than the sum of its proper divisors (6274271030688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3101310030312 is a wasteful number, since it uses less digits than its factorization.
3101310030312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 820417 (or 820404 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
Adding to 3101310030312 its reverse (2130300131013), we get a palindrome (5231610161325).
The spelling of 3101310030312 in words is "three trillion, one hundred one billion, three hundred ten million, thirty thousand, three hundred twelve".
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