Base | Representation |
---|---|
bin | 11101101100010010110… |
… | …00110001000001101100 |
3 | 10121112100100021120212020 |
4 | 32312021120301001230 |
5 | 113203343312020022 |
6 | 2100402400310140 |
7 | 133464544534116 |
oct | 16661130610154 |
9 | 3545310246766 |
10 | 1020212220012 |
11 | 363740223a57 |
12 | 145883012350 |
13 | 7528991893b |
14 | 375429b23b6 |
15 | 1b810e5235c |
hex | ed8963106c |
1020212220012 has 96 divisors (see below), whose sum is σ = 2530212056064. Its totient is φ = 319256044800.
The previous prime is 1020212219947. The next prime is 1020212220023. The reversal of 1020212220012 is 2100222120201.
It is a junction number, because it is equal to n+sod(n) for n = 1020212219973 and 1020212220000.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7695673 + ... + 7827119.
It is an arithmetic number, because the mean of its divisors is an integer number (26356375584).
Almost surely, 21020212220012 is an apocalyptic number.
1020212220012 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 1020212220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265106028032).
1020212220012 is an abundant number, since it is smaller than the sum of its proper divisors (1509999836052).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1020212220012 is a wasteful number, since it uses less digits than its factorization.
1020212220012 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 131999 (or 131997 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 15.
Adding to 1020212220012 its reverse (2100222120201), we get a palindrome (3120434340213).
The spelling of 1020212220012 in words is "one trillion, twenty billion, two hundred twelve million, two hundred twenty thousand, twelve".
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