Base | Representation |
---|---|
bin | 101110010001… |
… | …011100110100 |
3 | 211211021100222 |
4 | 232101130310 |
5 | 11101130400 |
6 | 1111553512 |
7 | 205050503 |
oct | 56213464 |
9 | 24737328 |
10 | 12130100 |
11 | 6935584 |
12 | 408b898 |
13 | 2689298 |
14 | 187a83a |
15 | 10e9185 |
hex | b91734 |
12130100 has 36 divisors (see below), whose sum is σ = 26605068. Its totient is φ = 4800000.
The previous prime is 12130099. The next prime is 12130103. The reversal of 12130100 is 103121.
12130100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 583696 + 11546404 = 764^2 + 3398^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12130103) 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, 9500 + ... + 10700.
Almost surely, 212130100 is an apocalyptic number.
12130100 is a gapful number since it is divisible by the number (10) 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 12130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13302534).
12130100 is an abundant number, since it is smaller than the sum of its proper divisors (14474968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12130100 is a wasteful number, since it uses less digits than its factorization.
12130100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1316 (or 1309 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 8.
The square root of 12130100 is about 3482.8293096274. The cubic root of 12130100 is about 229.7672503696.
Adding to 12130100 its reverse (103121), we get a palindrome (12233221).
The spelling of 12130100 in words is "twelve million, one hundred thirty thousand, one hundred".
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