Base | Representation |
---|---|
bin | 11101001000100011000… |
… | …00111000010101110100 |
3 | 10112200210220000101000110 |
4 | 32210101200320111310 |
5 | 112400042412241040 |
6 | 2043510210343020 |
7 | 132215144624364 |
oct | 16442140702564 |
9 | 3480726011013 |
10 | 1001021212020 |
11 | 356592417675 |
12 | 142007b8aa70 |
13 | 7351ba219cb |
14 | 36641d169a4 |
15 | 1b08b237980 |
hex | e911838574 |
1001021212020 has 96 divisors (see below), whose sum is σ = 2865644199936. Its totient is φ = 260971984000.
The previous prime is 1001021212007. The next prime is 1001021212027. The reversal of 1001021212020 is 202121201001.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 1001021211987 and 1001021212005.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1001021212027) 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, 2374195 + ... + 2763845.
It is an arithmetic number, because the mean of its divisors is an integer number (29850460416).
Almost surely, 21001021212020 is an apocalyptic number.
1001021212020 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 1001021212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432822099968).
1001021212020 is an abundant number, since it is smaller than the sum of its proper divisors (1864622987916).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001021212020 is a wasteful number, since it uses less digits than its factorization.
1001021212020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 390621 (or 390619 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
Adding to 1001021212020 its reverse (202121201001), we get a palindrome (1203142413021).
The spelling of 1001021212020 in words is "one trillion, one billion, twenty-one million, two hundred twelve thousand, twenty".
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