Base | Representation |
---|---|
bin | 1110101100110… |
… | …01101111110100 |
3 | 22121000221211100 |
4 | 13112121233310 |
5 | 223032010030 |
6 | 20123010100 |
7 | 3025100346 |
oct | 726315764 |
9 | 277027740 |
10 | 123313140 |
11 | 63674a95 |
12 | 35369930 |
13 | 1c716c72 |
14 | 1253d296 |
15 | ac5c360 |
hex | 7599bf4 |
123313140 has 36 divisors (see below), whose sum is σ = 374050404. Its totient is φ = 32883456.
The previous prime is 123313129. The next prime is 123313159. The reversal of 123313140 is 41313321.
It can be written as a sum of positive squares in 2 ways, for example, as 87385104 + 35928036 = 9348^2 + 5994^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×1233131402 = 30412260993319200, which 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 (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342357 + ... + 342716.
It is an arithmetic number, because the mean of its divisors is an integer number (10390289).
Almost surely, 2123313140 is an apocalyptic number.
123313140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
123313140 is an abundant number, since it is smaller than the sum of its proper divisors (250737264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123313140 is a wasteful number, since it uses less digits than its factorization.
123313140 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 685088 (or 685083 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 123313140 is about 11104.6449740638. The cubic root of 123313140 is about 497.7406594715.
Adding to 123313140 its reverse (41313321), we get a palindrome (164626461).
The spelling of 123313140 in words is "one hundred twenty-three million, three hundred thirteen thousand, one hundred forty".
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