Base | Representation |
---|---|
bin | 110111111000111101… |
… | …1011010001111001010 |
3 | 102110210121110010120200 |
4 | 1233301323122033022 |
5 | 3431301342000020 |
6 | 131045433233030 |
7 | 11446165444554 |
oct | 1576173321712 |
9 | 373717403520 |
10 | 120023000010 |
11 | 469a09443a1 |
12 | 1b317562776 |
13 | b419bab144 |
14 | 5b484124d4 |
15 | 31c6eea590 |
hex | 1bf1eda3ca |
120023000010 has 96 divisors (see below), whose sum is σ = 314430152400. Its totient is φ = 31763404800.
The previous prime is 120022999891. The next prime is 120023000023. The reversal of 120023000010 is 10000320021.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 56281394169 + 63741605841 = 237237^2 + 252471^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 120022999956 and 120023000001.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18515970 + ... + 18522450.
Almost surely, 2120023000010 is an apocalyptic number.
120023000010 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 120023000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157215076200).
120023000010 is an abundant number, since it is smaller than the sum of its proper divisors (194407152390).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120023000010 is a wasteful number, since it uses less digits than its factorization.
120023000010 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8024 (or 8021 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
Adding to 120023000010 its reverse (10000320021), we get a palindrome (130023320031).
The spelling of 120023000010 in words is "one hundred twenty billion, twenty-three million, ten", and thus it is an aban number.
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