Base | Representation |
---|---|
bin | 111111010001111… |
… | …0010010011101000 |
3 | 12110222101100011200 |
4 | 1332203302103220 |
5 | 13322031412222 |
6 | 550405524200 |
7 | 103421561034 |
oct | 17643622350 |
9 | 5428340150 |
10 | 2123310312 |
11 | 99a60a512 |
12 | 4b3113660 |
13 | 27ab8cc46 |
14 | 161dd71c4 |
15 | c661deac |
hex | 7e8f24e8 |
2123310312 has 48 divisors (see below), whose sum is σ = 5753906340. Its totient is φ = 707367168.
The previous prime is 2123310271. The next prime is 2123310317. The reversal of 2123310312 is 2130133212.
2123310312 is a `hidden beast` number, since 21 + 2 + 331 + 0 + 312 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 2117288196 + 6022116 = 46014^2 + 2454^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (2123310317) 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 11 ways as a sum of consecutive naturals, for example, 136098 + ... + 150894.
Almost surely, 22123310312 is an apocalyptic number.
It is an amenable number.
2123310312 is an abundant number, since it is smaller than the sum of its proper divisors (3630596028).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2123310312 is a wasteful number, since it uses less digits than its factorization.
2123310312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16802 (or 16795 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 2123310312 is about 46079.3914022310. The cubic root of 2123310312 is about 1285.2999470384.
Adding to 2123310312 its reverse (2130133212), we get a palindrome (4253443524).
The spelling of 2123310312 in words is "two billion, one hundred twenty-three million, three hundred ten thousand, three hundred twelve".
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