Base | Representation |
---|---|
bin | 1000101110011001… |
… | …1110111010001100 |
3 | 20001020010002010221 |
4 | 2023212132322030 |
5 | 14244040333400 |
6 | 1024223441124 |
7 | 112016462254 |
oct | 21346367214 |
9 | 6036102127 |
10 | 2342121100 |
11 | aa2080280 |
12 | 5544561a4 |
13 | 2b4302297 |
14 | 1830b4964 |
15 | da941c1a |
hex | 8b99ee8c |
2342121100 has 72 divisors (see below), whose sum is σ = 5571268416. Its totient is φ = 847560000.
The previous prime is 2342121071. The next prime is 2342121107. The reversal of 2342121100 is 11212432.
It is a super-3 number, since 3×23421211003 (a number of 29 digits) contains 333 as substring.
It is not an unprimeable number, because it can be changed into a prime (2342121107) 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, 227055 + ... + 237145.
It is an arithmetic number, because the mean of its divisors is an integer number (77378728).
Almost surely, 22342121100 is an apocalyptic number.
2342121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2342121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785634208).
2342121100 is an abundant number, since it is smaller than the sum of its proper divisors (3229147316).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2342121100 is a wasteful number, since it uses less digits than its factorization.
2342121100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10327 (or 10320 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
The square root of 2342121100 is about 48395.4656966952. The cubic root of 2342121100 is about 1328.0154131310.
Adding to 2342121100 its reverse (11212432), we get a palindrome (2353333532).
It can be divided in two parts, 23421 and 21100, that added together give a square (44521 = 2112).
The spelling of 2342121100 in words is "two billion, three hundred forty-two million, one hundred twenty-one thousand, one hundred".
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