Base | Representation |
---|---|
bin | 111001010100111101… |
… | …1100000001111001100 |
3 | 102202202202020121211010 |
4 | 1302221323200033030 |
5 | 4004112132013312 |
6 | 132320031125220 |
7 | 11615532003030 |
oct | 1625173401714 |
9 | 382682217733 |
10 | 123110032332 |
11 | 48235449481 |
12 | 1ba39373810 |
13 | b7bc6158a1 |
14 | 5d5c3d21c0 |
15 | 330803193c |
hex | 1ca9ee03cc |
123110032332 has 96 divisors (see below), whose sum is σ = 330532070400. Its totient is φ = 34934867712.
The previous prime is 123110032271. The next prime is 123110032333. The reversal of 123110032332 is 233230011321.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a junction number, because it is equal to n+sod(n) for n = 123110032299 and 123110032308.
It is not an unprimeable number, because it can be changed into a prime (123110032333) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16112169 + ... + 16119807.
It is an arithmetic number, because the mean of its divisors is an integer number (3443042400).
Almost surely, 2123110032332 is an apocalyptic number.
123110032332 is a gapful number since it is divisible by the number (12) 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 123110032332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165266035200).
123110032332 is an abundant number, since it is smaller than the sum of its proper divisors (207422038068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123110032332 is a wasteful number, since it uses less digits than its factorization.
123110032332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8935 (or 8933 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 21.
Adding to 123110032332 its reverse (233230011321), we get a palindrome (356340043653).
The spelling of 123110032332 in words is "one hundred twenty-three billion, one hundred ten million, thirty-two thousand, three hundred thirty-two".
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