Base | Representation |
---|---|
bin | 111001010100110000… |
… | …1111001011111100000 |
3 | 102202202021121121021102 |
4 | 1302221201321133200 |
5 | 4004103422220112 |
6 | 132315231213532 |
7 | 11615420645450 |
oct | 1625141713740 |
9 | 382667547242 |
10 | 123103320032 |
11 | 48231684420 |
12 | 1ba370772a8 |
13 | b7bb105604 |
14 | 5d5b565d60 |
15 | 3307657bc2 |
hex | 1ca98797e0 |
123103320032 has 96 divisors (see below), whose sum is σ = 302330859264. Its totient is φ = 47935641600.
The previous prime is 123103319981. The next prime is 123103320061. The reversal of 123103320032 is 230023301321.
It is a junction number, because it is equal to n+sod(n) for n = 123103319986 and 123103320013.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 4745048 + ... + 4770920.
It is an arithmetic number, because the mean of its divisors is an integer number (3149279784).
Almost surely, 2123103320032 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 123103320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151165429632).
123103320032 is an abundant number, since it is smaller than the sum of its proper divisors (179227539232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123103320032 is a wasteful number, since it uses less digits than its factorization.
123103320032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 27832 (or 27824 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 20.
Adding to 123103320032 its reverse (230023301321), we get a palindrome (353126621353).
The spelling of 123103320032 in words is "one hundred twenty-three billion, one hundred three million, three hundred twenty thousand, thirty-two".
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