Base | Representation |
---|---|
bin | 11110111000010010111… |
… | …101101101111110100100 |
3 | 21111212100001121102120102 |
4 | 132320102331231332210 |
5 | 234231410143410340 |
6 | 4302503102323232 |
7 | 306211634334200 |
oct | 36702275557644 |
9 | 7455301542512 |
10 | 2122032013220 |
11 | 748a48828579 |
12 | 2a3320289518 |
13 | 125150724212 |
14 | 749c7a25b00 |
15 | 3a2eb56b215 |
hex | 1ee12f6dfa4 |
2122032013220 has 72 divisors (see below), whose sum is σ = 5186419056000. Its totient is φ = 727189202880.
The previous prime is 2122032013139. The next prime is 2122032013243. The reversal of 2122032013220 is 223102302212.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 2122032013192 and 2122032013201.
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, 1417415 + ... + 2500625.
It is an arithmetic number, because the mean of its divisors is an integer number (72033598000).
Almost surely, 22122032013220 is an apocalyptic number.
2122032013220 is a gapful number since it is divisible by the number (20) 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 2122032013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593209528000).
2122032013220 is an abundant number, since it is smaller than the sum of its proper divisors (3064387042780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122032013220 is a wasteful number, since it uses less digits than its factorization.
2122032013220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1085233 (or 1085224 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
Adding to 2122032013220 its reverse (223102302212), we get a palindrome (2345134315432).
The spelling of 2122032013220 in words is "two trillion, one hundred twenty-two billion, thirty-two million, thirteen thousand, two hundred twenty".
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