Base | Representation |
---|---|
bin | 111001010101100110… |
… | …0101011000011011100 |
3 | 102202211020021122201000 |
4 | 1302223030223003130 |
5 | 4004133103412200 |
6 | 132322111150300 |
7 | 11616210603645 |
oct | 1625314530334 |
9 | 382736248630 |
10 | 123131310300 |
11 | 48246461979 |
12 | 1ba44515390 |
13 | b7c3b558bb |
14 | 5d611706cc |
15 | 3309d36300 |
hex | 1cab32b0dc |
123131310300 has 144 divisors (see below), whose sum is σ = 397488968800. Its totient is φ = 32698598400.
The previous prime is 123131310293. The next prime is 123131310353. The reversal of 123131310300 is 3013131321.
It is a happy number.
123131310300 is a `hidden beast` number, since 1 + 23 + 1 + 31 + 310 + 300 = 666.
It is a super-2 number, since 2×1231313103002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
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 47 ways as a sum of consecutive naturals, for example, 556086 + ... + 745314.
Almost surely, 2123131310300 is an apocalyptic number.
123131310300 is a gapful number since it is divisible by the number (10) 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 123131310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198744484400).
123131310300 is an abundant number, since it is smaller than the sum of its proper divisors (274357658500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123131310300 is a wasteful number, since it uses less digits than its factorization.
123131310300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 189493 (or 189480 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
Adding to 123131310300 its reverse (3013131321), we get a palindrome (126144441621).
The spelling of 123131310300 in words is "one hundred twenty-three billion, one hundred thirty-one million, three hundred ten thousand, three hundred".
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