| Base | Representation |
|---|---|
| bin | 111101000011110001… |
| … | …1000000100010110110 |
| 3 | 110112110012021200001100 |
| 4 | 1322013203000202312 |
| 5 | 4122020004322220 |
| 6 | 140123115310530 |
| 7 | 12321232063410 |
| oct | 1720743004266 |
| 9 | 415405250040 |
| 10 | 131123120310 |
| 11 | 50677646036 |
| 12 | 214b4a4b446 |
| 13 | c49878bc70 |
| 14 | 64bc7059b0 |
| 15 | 3626764d90 |
| hex | 1e878c08b6 |
131123120310 has 192 divisors, whose sum is σ = 419879311488. Its totient is φ = 27646728192.
The previous prime is 131123120269. The next prime is 131123120311. The reversal of 131123120310 is 13021321131.
131123120310 is a `hidden beast` number, since 1 + 31 + 12 + 312 + 0 + 310 = 666.
It is a super-2 number, since 2×1311231203102 (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 not an unprimeable number, because it can be changed into a prime (131123120311) by changing a digit.
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 95 ways as a sum of consecutive naturals, for example, 14352504 + ... + 14361636.
It is an arithmetic number, because the mean of its divisors is an integer number (2186871414).
Almost surely, 2131123120310 is an apocalyptic number.
131123120310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 131123120310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209939655744).
131123120310 is an abundant number, since it is smaller than the sum of its proper divisors (288756191178).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131123120310 is a wasteful number, since it uses less digits than its factorization.
131123120310 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10919 (or 10916 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
Adding to 131123120310 its reverse (13021321131), we get a palindrome (144144441441).
The spelling of 131123120310 in words is "one hundred thirty-one billion, one hundred twenty-three million, one hundred twenty thousand, three hundred ten".
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