Base | Representation |
---|---|
bin | 111011101011010… |
… | …100000100000000 |
3 | 2120202221202002000 |
4 | 323223110010000 |
5 | 4022302210422 |
6 | 243203224000 |
7 | 33545100630 |
oct | 7353240400 |
9 | 2522852060 |
10 | 1001210112 |
11 | 47417aa81 |
12 | 23b378000 |
13 | 12c571c26 |
14 | 96d846c0 |
15 | 5cd6ecac |
hex | 3bad4100 |
1001210112 has 144 divisors (see below), whose sum is σ = 3383882880. Its totient is φ = 286046208.
The previous prime is 1001210101. The next prime is 1001210113. The reversal of 1001210112 is 2110121001.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 1001210094 and 1001210103.
It is not an unprimeable number, because it can be changed into a prime (1001210113) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38038 + ... + 58730.
Almost surely, 21001210112 is an apocalyptic number.
1001210112 is a gapful number since it is divisible by the number (12) 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 1001210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691941440).
1001210112 is an abundant number, since it is smaller than the sum of its proper divisors (2382672768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001210112 is an equidigital number, since it uses as much as digits as its factorization.
1001210112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 20725 (or 20705 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
The square root of 1001210112 is about 31641.9043674682. The cubic root of 1001210112 is about 1000.4032080681.
Adding to 1001210112 its reverse (2110121001), we get a palindrome (3111331113).
The spelling of 1001210112 in words is "one billion, one million, two hundred ten thousand, one hundred twelve".
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