Base | Representation |
---|---|
bin | 111001010010011000… |
… | …1001100000011010100 |
3 | 102202112201022101101200 |
4 | 1302210301030003110 |
5 | 4003423000122012 |
6 | 132303255152500 |
7 | 11613431001333 |
oct | 1624461140324 |
9 | 382481271350 |
10 | 123023442132 |
11 | 481a0586a28 |
12 | 1ba14375730 |
13 | b7a76b8996 |
14 | 5d50ad1d1a |
15 | 330062a3dc |
hex | 1ca4c4c0d4 |
123023442132 has 36 divisors (see below), whose sum is σ = 311694151860. Its totient is φ = 40913102592.
The previous prime is 123023442067. The next prime is 123023442137. The reversal of 123023442132 is 231244320321.
123023442132 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 234 + 421 + 3 + 2 = 666.
123023442132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 40290124176 + 82733317956 = 200724^2 + 287634^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a junction number, because it is equal to n+sod(n) for n = 123023442096 and 123023442105.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123023442137) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3930507 + ... + 3961682.
It is an arithmetic number, because the mean of its divisors is an integer number (8658170885).
Almost surely, 2123023442132 is an apocalyptic number.
123023442132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
123023442132 is an abundant number, since it is smaller than the sum of its proper divisors (188670709728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123023442132 is a wasteful number, since it uses less digits than its factorization.
123023442132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7892632 (or 7892627 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
Adding to 123023442132 its reverse (231244320321), we get a palindrome (354267762453).
The spelling of 123023442132 in words is "one hundred twenty-three billion, twenty-three million, four hundred forty-two thousand, one hundred thirty-two".
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