Base | Representation |
---|---|
bin | 111111001111101… |
… | …0000110000010110 |
3 | 12110220011002021200 |
4 | 1332133100300112 |
5 | 13321230434220 |
6 | 550324253330 |
7 | 103405521225 |
oct | 17637206026 |
9 | 5426132250 |
10 | 2122124310 |
11 | 99997a449 |
12 | 4b2841246 |
13 | 27a866177 |
14 | 161ba8cbc |
15 | c6487890 |
hex | 7e7d0c16 |
2122124310 has 24 divisors (see below), whose sum is σ = 5517523440. Its totient is φ = 565899792.
The previous prime is 2122124267. The next prime is 2122124311. The reversal of 2122124310 is 134212212.
It is a happy number.
2122124310 is a `hidden beast` number, since 21 + 2 + 212 + 431 + 0 = 666.
It is a super-4 number, since 4×21221243104 (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2122124311) 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, 11789490 + ... + 11789669.
It is an arithmetic number, because the mean of its divisors is an integer number (229896810).
Almost surely, 22122124310 is an apocalyptic number.
2122124310 is an abundant number, since it is smaller than the sum of its proper divisors (3395399130).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122124310 is a wasteful number, since it uses less digits than its factorization.
2122124310 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23579172 (or 23579169 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 2122124310 is about 46066.5204893966. The cubic root of 2122124310 is about 1285.0605955871.
Adding to 2122124310 its reverse (134212212), we get a palindrome (2256336522).
The spelling of 2122124310 in words is "two billion, one hundred twenty-two million, one hundred twenty-four thousand, three hundred ten".
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