Base | Representation |
---|---|
bin | 11101001000100000100… |
… | …00101110011101010100 |
3 | 10112200202102110211222020 |
4 | 32210100100232131110 |
5 | 112400022022400040 |
6 | 2043504140133140 |
7 | 132214501212042 |
oct | 16442020563524 |
9 | 3480672424866 |
10 | 1001000200020 |
11 | 356581575a87 |
12 | 142000b371b0 |
13 | 73517575a82 |
14 | 3663d207392 |
15 | 1b089486cd0 |
hex | e91042e754 |
1001000200020 has 96 divisors (see below), whose sum is σ = 2879734505088. Its totient is φ = 259612273152.
The previous prime is 1001000200003. The next prime is 1001000200037. The reversal of 1001000200020 is 200020001001.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (1001000200003) and next prime (1001000200037).
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a junction number, because it is equal to n+sod(n) for n = 1001000199981 and 1001000200008.
It is a congruent number.
It is an unprimeable number.
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, 5385354 + ... + 5568126.
It is an arithmetic number, because the mean of its divisors is an integer number (29997234428).
Almost surely, 21001000200020 is an apocalyptic number.
1001000200020 is a gapful number since it is divisible by the number (10) 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 1001000200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439867252544).
1001000200020 is an abundant number, since it is smaller than the sum of its proper divisors (1878734305068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001000200020 is a wasteful number, since it uses less digits than its factorization.
1001000200020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 185289 (or 185287 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
Adding to 1001000200020 its reverse (200020001001), we get a palindrome (1201020201021).
The spelling of 1001000200020 in words is "one trillion, one billion, two hundred thousand, twenty".
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