Base | Representation |
---|---|
bin | 111001010010010010… |
… | …0000011101100100000 |
3 | 102202112110211111201111 |
4 | 1302210210003230200 |
5 | 4003421110000112 |
6 | 132303053313104 |
7 | 11613356514136 |
oct | 1624444035440 |
9 | 382473744644 |
10 | 123020000032 |
11 | 48199645916 |
12 | 1ba13195794 |
13 | b7a6a82037 |
14 | 5d50477756 |
15 | 330019a5a7 |
hex | 1ca4903b20 |
123020000032 has 48 divisors (see below), whose sum is σ = 246260847672. Its totient is φ = 60478341120.
The previous prime is 123019999987. The next prime is 123020000041. The reversal of 123020000032 is 230000020321.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 37309240336 + 85710759696 = 193156^2 + 292764^2 .
It is a super-3 number, since 3×1230200000323 (a number of 34 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 123019999967 and 123020000021.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5761408 + ... + 5782720.
Almost surely, 2123020000032 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 123020000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123130423836).
123020000032 is an abundant number, since it is smaller than the sum of its proper divisors (123240847640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123020000032 is a wasteful number, since it uses less digits than its factorization.
123020000032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 24341 (or 24333 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 13.
Adding to 123020000032 its reverse (230000020321), we get a palindrome (353020020353).
The spelling of 123020000032 in words is "one hundred twenty-three billion, twenty million, thirty-two", and thus it is an aban number.
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