Base | Representation |
---|---|
bin | 10010011111000… |
… | …000111001010100 |
3 | 210121112201200200 |
4 | 102133000321110 |
5 | 1113342320040 |
6 | 50434540500 |
7 | 10453656000 |
oct | 2237007124 |
9 | 717481620 |
10 | 310120020 |
11 | 14a066841 |
12 | 87a37730 |
13 | 4c332192 |
14 | 2d289700 |
15 | 1c35c630 |
hex | 127c0e54 |
310120020 has 144 divisors (see below), whose sum is σ = 1097241600. Its totient is φ = 70870464.
The previous prime is 310120003. The next prime is 310120037. The reversal of 310120020 is 20021013.
It is a happy number.
310120020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (310120003) and next prime (310120037).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 310119984 and 310120011.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59229 + ... + 64251.
Almost surely, 2310120020 is an apocalyptic number.
310120020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 310120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548620800).
310120020 is an abundant number, since it is smaller than the sum of its proper divisors (787121580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
310120020 is a wasteful number, since it uses less digits than its factorization.
310120020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5059 (or 5040 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 310120020 is about 17610.2248707959. The cubic root of 310120020 is about 676.8772762308.
Adding to 310120020 its reverse (20021013), we get a palindrome (330141033).
The spelling of 310120020 in words is "three hundred ten million, one hundred twenty thousand, twenty".
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