Base | Representation |
---|---|
bin | 10001110000011010110… |
… | …001111001101111000100 |
3 | 11022122121020012121011112 |
4 | 101300122301321233010 |
5 | 124443002310014340 |
6 | 2332321125224152 |
7 | 154105121606633 |
oct | 21603261715704 |
9 | 4278536177145 |
10 | 1220220001220 |
11 | 43054641a300 |
12 | 1785a1262058 |
13 | 8b0b273077c |
14 | 430b7b1b51a |
15 | 21b19e12065 |
hex | 11c1ac79bc4 |
1220220001220 has 72 divisors (see below), whose sum is σ = 2818082726424. Its totient is φ = 443481280000.
The previous prime is 1220220001211. The next prime is 1220220001241. The reversal of 1220220001220 is 221000220221.
It can be written as a sum of positive squares in 4 ways, for example, as 240947466496 + 979272534724 = 490864^2 + 989582^2 .
It is a junction number, because it is equal to n+sod(n) for n = 1220220001195 and 1220220001204.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4467800 + ... + 4733040.
It is an arithmetic number, because the mean of its divisors is an integer number (39140037867).
Almost surely, 21220220001220 is an apocalyptic number.
1220220001220 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 1220220001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409041363212).
1220220001220 is an abundant number, since it is smaller than the sum of its proper divisors (1597862725204).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1220220001220 is a wasteful number, since it uses less digits than its factorization.
1220220001220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 267173 (or 267160 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
Adding to 1220220001220 its reverse (221000220221), we get a palindrome (1441220221441).
It can be divided in two parts, 1220220001 and 220, that added together give a palindrome (1220220221).
The spelling of 1220220001220 in words is "one trillion, two hundred twenty billion, two hundred twenty million, one thousand, two hundred twenty".
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