Base | Representation |
---|---|
bin | 10010101011110011… |
… | …01001011110000100 |
3 | 221220002022012001100 |
4 | 21111321221132010 |
5 | 131020431010040 |
6 | 4335213300100 |
7 | 503403012501 |
oct | 112571513604 |
9 | 27802265040 |
10 | 10031110020 |
11 | 4288333478 |
12 | 1b3b494630 |
13 | c3b290779 |
14 | 6b23404a8 |
15 | 3da9a5b30 |
hex | 255e69784 |
10031110020 has 144 divisors (see below), whose sum is σ = 31636620288. Its totient is φ = 2570641920.
The previous prime is 10031109973. The next prime is 10031110039. The reversal of 10031110020 is 2001113001.
10031110020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 = 10031109984 and 10031110011.
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, 484317 + ... + 504603.
It is an arithmetic number, because the mean of its divisors is an integer number (219698752).
Almost surely, 210031110020 is an apocalyptic number.
10031110020 is a gapful number since it is divisible by the number (10) 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 10031110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15818310144).
10031110020 is an abundant number, since it is smaller than the sum of its proper divisors (21605510268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10031110020 is a wasteful number, since it uses less digits than its factorization.
10031110020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20410 (or 20405 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
Adding to 10031110020 its reverse (2001113001), we get a palindrome (12032223021).
The spelling of 10031110020 in words is "ten billion, thirty-one million, one hundred ten thousand, twenty".
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