Base | Representation |
---|---|
bin | 10110100010110011… |
… | …10001110000100000 |
3 | 1011020111011201022102 |
4 | 23101121301300200 |
5 | 144241400131034 |
6 | 5320552025532 |
7 | 605632623500 |
oct | 132131616040 |
9 | 34214151272 |
10 | 12103130144 |
11 | 51509a08a6 |
12 | 24193922a8 |
13 | 11ab632c91 |
14 | 82b5c5a00 |
15 | 4ac84297e |
hex | 2d1671c20 |
12103130144 has 144 divisors (see below), whose sum is σ = 29455536600. Its totient is φ = 4864204800.
The previous prime is 12103130107. The next prime is 12103130183. The reversal of 12103130144 is 44103130121.
It can be written as a sum of positive squares in 4 ways, for example, as 9358627600 + 2744502544 = 96740^2 + 52388^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9302294 + ... + 9303594.
Almost surely, 212103130144 is an apocalyptic number.
12103130144 is a gapful number since it is divisible by the number (14) 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 12103130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14727768300).
12103130144 is an abundant number, since it is smaller than the sum of its proper divisors (17352406456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12103130144 is a wasteful number, since it uses less digits than its factorization.
12103130144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1691 (or 1676 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 20.
Adding to 12103130144 its reverse (44103130121), we get a palindrome (56206260265).
The spelling of 12103130144 in words is "twelve billion, one hundred three million, one hundred thirty thousand, one hundred forty-four".
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