Base | Representation |
---|---|
bin | 111101000110110000… |
… | …0011111000110010000 |
3 | 110112201011110022000111 |
4 | 1322031200133012100 |
5 | 4122221104403240 |
6 | 140141050531104 |
7 | 12323555064433 |
oct | 1721540370620 |
9 | 415634408014 |
10 | 131223122320 |
11 | 50719039024 |
12 | 21522436a94 |
13 | c4b3403654 |
14 | 64cbad781a |
15 | 363041a1ea |
hex | 1e8d81f190 |
131223122320 has 40 divisors (see below), whose sum is σ = 305221698936. Its totient is φ = 52467237888.
The previous prime is 131223122309. The next prime is 131223122333. The reversal of 131223122320 is 23221322131.
It can be written as a sum of positive squares in 4 ways, for example, as 51667344 + 131171454976 = 7188^2 + 362176^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a junction number, because it is equal to n+sod(n) for n = 131223122291 and 131223122300.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151287 + ... + 534166.
Almost surely, 2131223122320 is an apocalyptic number.
131223122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
131223122320 is an abundant number, since it is smaller than the sum of its proper divisors (173998576616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131223122320 is a wasteful number, since it uses less digits than its factorization.
131223122320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 687859 (or 687853 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 22.
Adding to 131223122320 its reverse (23221322131), we get a palindrome (154444444451).
The spelling of 131223122320 in words is "one hundred thirty-one billion, two hundred twenty-three million, one hundred twenty-two thousand, three hundred twenty".
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