Base | Representation |
---|---|
bin | 11110111001010010110… |
… | …011001101011000100100 |
3 | 21111222002200212012101011 |
4 | 132321102303031120210 |
5 | 234241103332000400 |
6 | 4303201241312004 |
7 | 306250320512005 |
oct | 36712263153044 |
9 | 7458080765334 |
10 | 2123103000100 |
11 | 7494483268a5 |
12 | 2a357aa95604 |
13 | 125291587174 |
14 | 74a89d711ac |
15 | 3a3605c08ba |
hex | 1ee52ccd624 |
2123103000100 has 36 divisors (see below), whose sum is σ = 4609347865668. Its totient is φ = 848833024000.
The previous prime is 2123103000077. The next prime is 2123103000101. The reversal of 2123103000100 is 10003013212.
It can be written as a sum of positive squares in 6 ways, for example, as 212670390244 + 1910432609856 = 461162^2 + 1382184^2 .
It is not an unprimeable number, because it can be changed into a prime (2123103000101) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4893061 + ... + 5309260.
It is an arithmetic number, because the mean of its divisors is an integer number (128037440713).
Almost surely, 22123103000100 is an apocalyptic number.
2123103000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2123103000100 is an abundant number, since it is smaller than the sum of its proper divisors (2486244865568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2123103000100 is a wasteful number, since it uses less digits than its factorization.
2123103000100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10204416 (or 10204409 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 13.
Adding to 2123103000100 its reverse (10003013212), we get a palindrome (2133106013312).
The spelling of 2123103000100 in words is "two trillion, one hundred twenty-three billion, one hundred three million, one hundred", and thus it is an aban number.
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