Base | Representation |
---|---|
bin | 11101001000100011000… |
… | …00011111101110111010 |
3 | 10112200210212211020202100 |
4 | 32210101200133232322 |
5 | 112400042401024401 |
6 | 2043510204244230 |
7 | 132215144024463 |
oct | 16442140375672 |
9 | 3480725736670 |
10 | 1001021111226 |
11 | 356592358974 |
12 | 142007b40676 |
13 | 7351b9b7b76 |
14 | 36641ccbd6a |
15 | 1b08b217b86 |
hex | e91181fbba |
1001021111226 has 96 divisors (see below), whose sum is σ = 2339990387280. Its totient is φ = 308137623552.
The previous prime is 1001021111221. The next prime is 1001021111227. The reversal of 1001021111226 is 6221111201001.
It can be written as a sum of positive squares in 8 ways, for example, as 316018244025 + 685002867201 = 562155^2 + 827649^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1001021111199 and 1001021111208.
It is not an unprimeable number, because it can be changed into a prime (1001021111221) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4195140 + ... + 4427328.
Almost surely, 21001021111226 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1001021111226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169995193640).
1001021111226 is an abundant number, since it is smaller than the sum of its proper divisors (1338969276054).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001021111226 is a wasteful number, since it uses less digits than its factorization.
1001021111226 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 232480 (or 232477 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 18.
Adding to 1001021111226 its reverse (6221111201001), we get a palindrome (7222132312227).
The spelling of 1001021111226 in words is "one trillion, one billion, twenty-one million, one hundred eleven thousand, two hundred twenty-six".
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