Base | Representation |
---|---|
bin | 10110100010011100… |
… | …01101111110110100 |
3 | 1011020021110202202121 |
4 | 23101032031332310 |
5 | 144240111200040 |
6 | 5320403045324 |
7 | 605565103351 |
oct | 132116157664 |
9 | 34207422677 |
10 | 12100100020 |
11 | 514a211268 |
12 | 2418370844 |
13 | 11aab119c8 |
14 | 82b037628 |
15 | 4ac444c4a |
hex | 2d138dfb4 |
12100100020 has 24 divisors (see below), whose sum is σ = 25695721800. Its totient is φ = 4785656832.
The previous prime is 12100099987. The next prime is 12100100021. The reversal of 12100100020 is 2000100121.
It can be written as a sum of positive squares in 4 ways, for example, as 459416356 + 11640683664 = 21434^2 + 107892^2 .
It is a junction number, because it is equal to n+sod(n) for n = 12100099976 and 12100100012.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12100100021) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3397125 + ... + 3400684.
It is an arithmetic number, because the mean of its divisors is an integer number (1070655075).
Almost surely, 212100100020 is an apocalyptic number.
12100100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
12100100020 is an abundant number, since it is smaller than the sum of its proper divisors (13595621780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12100100020 is a wasteful number, since it uses less digits than its factorization.
12100100020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6797907 (or 6797905 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 7.
Adding to 12100100020 its reverse (2000100121), we get a palindrome (14100200141).
The spelling of 12100100020 in words is "twelve billion, one hundred million, one hundred thousand, twenty".
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