Base | Representation |
---|---|
bin | 111001010101100111… |
… | …1110000111110101010 |
3 | 102202211021210211210000 |
4 | 1302223033300332222 |
5 | 4004133310333002 |
6 | 132322140403430 |
7 | 11616220521342 |
oct | 1625317607652 |
9 | 382737724700 |
10 | 123132121002 |
11 | 48246965a80 |
12 | 1ba44846576 |
13 | b7c407a8c7 |
14 | 5d61301d22 |
15 | 3309e4661c |
hex | 1cab3f0faa |
123132121002 has 160 divisors (see below), whose sum is σ = 304562389824. Its totient is φ = 36871718400.
The previous prime is 123132120949. The next prime is 123132121009. The reversal of 123132121002 is 200121231321.
123132121002 is digitally balanced in base 3, 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 (18).
It is not an unprimeable number, because it can be changed into a prime (123132121009) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 139763602 + ... + 139764482.
Almost surely, 2123132121002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 123132121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152281194912).
123132121002 is an abundant number, since it is smaller than the sum of its proper divisors (181430268822).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123132121002 is a wasteful number, since it uses less digits than its factorization.
123132121002 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1746 (or 1737 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 123132121002 its reverse (200121231321), we get a palindrome (323253352323).
The spelling of 123132121002 in words is "one hundred twenty-three billion, one hundred thirty-two million, one hundred twenty-one thousand, two".
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