Base | Representation |
---|---|
bin | 11101001110001000100… |
… | …01111000010001000110 |
3 | 10112222112220111222011000 |
4 | 32213010101320101012 |
5 | 112422213210314342 |
6 | 2045123545354130 |
7 | 132352363412256 |
oct | 16470421702106 |
9 | 3488486458130 |
10 | 1004020401222 |
11 | 357891383933 |
12 | 142704498946 |
13 | 738a91b1187 |
14 | 3684838b966 |
15 | 1b1b46bb44c |
hex | e9c4478446 |
1004020401222 has 64 divisors (see below), whose sum is σ = 2252665080000. Its totient is φ = 331451817984.
The previous prime is 1004020401221. The next prime is 1004020401233. The reversal of 1004020401222 is 2221040204001.
1004020401222 is a `hidden beast` number, since 1 + 0 + 0 + 40 + 2 + 0 + 401 + 222 = 666.
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 = 1004020401195 and 1004020401204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1004020401221) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7801654 + ... + 7929302.
It is an arithmetic number, because the mean of its divisors is an integer number (35197891875).
Almost surely, 21004020401222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1004020401222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126332540000).
1004020401222 is an abundant number, since it is smaller than the sum of its proper divisors (1248644678778).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1004020401222 is a wasteful number, since it uses less digits than its factorization.
1004020401222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 129062 (or 129056 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 1004020401222 its reverse (2221040204001), we get a palindrome (3225060605223).
The spelling of 1004020401222 in words is "one trillion, four billion, twenty million, four hundred one thousand, two hundred twenty-two".
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