Base | Representation |
---|---|
bin | 10010110101011100… |
… | …01110000100110110 |
3 | 222002201111211200000 |
4 | 21122232032010312 |
5 | 131202133002220 |
6 | 4351223132130 |
7 | 505404404316 |
oct | 113256160466 |
9 | 28081454600 |
10 | 10112000310 |
11 | 4319a62555 |
12 | 1b625a4046 |
13 | c51c73149 |
14 | 6bcd99446 |
15 | 3e2b33390 |
hex | 25ab8e136 |
10112000310 has 96 divisors (see below), whose sum is σ = 27408955392. Its totient is φ = 2682292320.
The previous prime is 10112000303. The next prime is 10112000351. The reversal of 10112000310 is 1300021101.
10112000310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×101120003102 (a number of 21 digits) contains 22 as substring.
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 = 10112000292 and 10112000301.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453237 + ... + 475023.
It is an arithmetic number, because the mean of its divisors is an integer number (285509952).
Almost surely, 210112000310 is an apocalyptic number.
10112000310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 10112000310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13704477696).
10112000310 is an abundant number, since it is smaller than the sum of its proper divisors (17296955082).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10112000310 is a wasteful number, since it uses less digits than its factorization.
10112000310 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22000 (or 21988 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
Adding to 10112000310 its reverse (1300021101), we get a palindrome (11412021411).
The spelling of 10112000310 in words is "ten billion, one hundred twelve million, three hundred ten", and thus it is an aban number.
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