Base | Representation |
---|---|
bin | 101101100011111110010… |
… | …001101001011000110000 |
3 | 102002022122221002002121102 |
4 | 231203332101221120300 |
5 | 402244243032332240 |
6 | 10354210151543532 |
7 | 442131103561526 |
oct | 55437621513060 |
9 | 12068587062542 |
10 | 3131002230320 |
11 | aa793a152328 |
12 | 42698638aba8 |
13 | 199338242b13 |
14 | ab781530316 |
15 | 566a0579815 |
hex | 2d8fe469630 |
3131002230320 has 80 divisors (see below), whose sum is σ = 7325336957952. Its totient is φ = 1244531070720.
The previous prime is 3131002230299. The next prime is 3131002230329. The reversal of 3131002230320 is 230322001313.
3131002230320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 3131002230292 and 3131002230301.
It is not an unprimeable number, because it can be changed into a prime (3131002230329) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115559975 + ... + 115587065.
Almost surely, 23131002230320 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 3131002230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662668478976).
3131002230320 is an abundant number, since it is smaller than the sum of its proper divisors (4194334727632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3131002230320 is a wasteful number, since it uses less digits than its factorization.
3131002230320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 36130 (or 36124 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 20.
Adding to 3131002230320 its reverse (230322001313), we get a palindrome (3361324231633).
The spelling of 3131002230320 in words is "three trillion, one hundred thirty-one billion, two million, two hundred thirty thousand, three hundred twenty".
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