Base | Representation |
---|---|
bin | 1110101011011… |
… | …01010110111010 |
3 | 22120200201102100 |
4 | 13111231112322 |
5 | 223010200242 |
6 | 20115044230 |
7 | 3023412306 |
oct | 725552672 |
9 | 276621370 |
10 | 123131322 |
11 | 63560426 |
12 | 352a0676 |
13 | 1c682292 |
14 | 124d2d06 |
15 | ac2354c |
hex | 756d5ba |
123131322 has 48 divisors (see below), whose sum is σ = 272811240. Its totient is φ = 40128000.
The previous prime is 123131293. The next prime is 123131329. The reversal of 123131322 is 223131321.
It can be written as a sum of positive squares in 4 ways, for example, as 80084601 + 43046721 = 8949^2 + 6561^2 .
It is a super-2 number, since 2×1231313222 = 30322644914935368, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 123131295 and 123131304.
It is not an unprimeable number, because it can be changed into a prime (123131329) 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 23 ways as a sum of consecutive naturals, for example, 161422 + ... + 162182.
Almost surely, 2123131322 is an apocalyptic number.
123131322 is an abundant number, since it is smaller than the sum of its proper divisors (149679918).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123131322 is a wasteful number, since it uses less digits than its factorization.
123131322 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 959 (or 956 counting only the distinct ones).
The product of its digits is 216, while the sum is 18.
The square root of 123131322 is about 11096.4553799851. The cubic root of 123131322 is about 497.4959093289.
Adding to 123131322 its reverse (223131321), we get a palindrome (346262643).
Subtracting 123131322 from its reverse (223131321), we obtain a palindrome (99999999).
The spelling of 123131322 in words is "one hundred twenty-three million, one hundred thirty-one thousand, three hundred twenty-two".
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